1. Tap for more steps y = (x+ 3 2)2 − 25 4 y = ( x + 3 2) 2 - 25 4. Find the Roots (Zeros) x^5-3x^4+3x^3-x^2=0. Find the Remainder (x^4-x^3+3x-3)÷(x-2) Step 1. Substitute the values a = 3 a = 3, b = −1 b = - 1, and c = −2 c = - 2 into the quadratic formula and solve for x x. Q2. Get step-by-step answers and hints for your math homework problems. NCERT Solutions For Class 12 Physics; NCERT Solutions For Class 12 Chemistry;. Factor using the AC method. 3x … Linear equation. In this case, whose product is and whose sum is . Simplify (x^2+3x+2)/(x^2-x-2) Step 1. Simultaneous equation. If a polynomial function has integer coefficients, then every rational zero will have the form where is a factor of the constant and is a factor of the leading coefficient. Multiply polynomials step-by-step. Set up the polynomials to be divided. Login. en. The slope-intercept form is , where is the slope and is the y-intercept. Solve your math problems using our free math solver with step-by-step solutions. Tap for more steps Step 3. 2x2 − 3x − 4 = 0 2 x 2 - 3 x - 4 = 0., < > ≤: ≥ ^ √: ⬅: : F _ ÷ | (* / ⌫ A: ↻: x: y = +-G x ^ 2 -\frac{1}{3}x -\frac{4}{3} = 0. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Factor u2 − 3u−4 u 2 - 3 u - 4 using the AC method. Step 1. Arithmetic. NCERT Solutions For Class 12. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a Substitute … For a given numerator and denominator pair, this involves finding their greatest common divisor polynomial and removing it from both the numerator and denominator.7. Step 1. To use the direct factoring method, the equation must be in the form x^2+Bx+C=0. y = x2 + 3x − 4 y = x 2 + 3 x - 4. Solve for x 3x-2=4. Simultaneous equation. The rule states that the square of the sum (or difference) of two terms is equal to the sum (or difference) of the squares of the terms plus twice the product of the terms. 10 If x=4, then substitute x for 4, multiply by 3 since 3 was being multiplied by x, then subtract 2. Tap for more steps Step 2. Factor using the AC method. Tap for more steps 3x2 + 2x−6x−4 3 x 2 + 2 x - 6 x - 4. Since a+b is negative, the negative number has greater absolute value than the positive. Apply the distributive property.2. we can solve the equation applying the Quadratic Formula. x2 − 3x − 4 x 2 - 3 x - 4. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Matrix. Multiply by . Step 1. Simplify each term. f (x) = 3x2 + 2x − 4 f ( x) = 3 x 2 + 2 x - 4. Factor 3x^2+3x-6.2. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Now we have a common denominator, let's bring it all together: 3x−10 − 2(x−4)x−4 > 0. Step 2. The perfect square rule is a technique used to expand expressions that are the sum or difference of two squares, such as (a + b)^2 or (a - b)^2. Solve your math problems using our free math solver with step-by-step solutions. Factor out of . Multiply by . Popular Problems Algebra Factor 3x^2-x-4 3x2 − x − 4 3 x 2 - x - 4 For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose … An example of a polynomial of a single indeterminate x is x² − 4x + 7. Factor P(x)=x^3+3x^2-4. To find a and b, set up a system to be solved. Add to both sides of the equation. Practice your math skills and learn step by step with our math solver.2. Step 3. $324. Tap for more steps Step 2. Symbolab is the best step by step calculator for a wide range of math problems, from basic arithmetic to advanced calculus and linear algebra. View Solution. Step 1. Visit the Denali Store.3. Instead, bring "2" to the left: 3x−10x−4 − 2 > 0. Rewrite x4 x 4 as (x2)2 ( x 2) 2. Factor out of . The good candidates for solutions are factors of the last coefficient in the equation. Tap for more steps Direction: Opens Up. Find the point at .1. polynomial-multiplication-calculator. Simultaneous equation. The final answer is . Step 1. Algebra Examples. Tap for more steps Direction: Opens Up. x−2 = 0 x - 2 = 0.1.3 Solving x2-3x-1 = 0 by Completing The Square . You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C. Find a pair of integers whose product is and whose sum is .This is achieved by dividing both sides of the equation by 3.3. Step 2. Apply the distributive property. Matrix Linear equation. Step 2.381966114 Step by step solution : Step 1 :Equation at the end of step 1 : ( ( ( (x4) - 2x3) - x2) - 2x) + 1 = 0 Step 2 Divide x4 −4x3 −x2−8x+4 = 0 with x2 in order to get the following x2 −4x−1− x8 + x24 = (x+ x2)2 −4(x+ x2)−5 = (x+ x2 −5)(x+ x2 +1). Substitute u u for all occurrences of x2 x 2. 32x2 3 2 x 2. Chapter 2 Class 9 Polynomials.tset stoor lanoitar eht gnisu rotcaF . Step 1. Matrix.3; 2. Get Step by Step Now. Factorize: 3x^2 x 4 Get the answer to this question and access a vast question bank that is tailored for students. 3x2 − 4x − 4 3 x 2 - 4 x - 4. Solve your math problems using our free math solver with step-by-step solutions. Tap for more steps Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math 4. Find the values of and using the form . Tap for more steps (3x+2)(x −1) = 0 ( 3 x + 2) ( x - 1) = 0. Transcript. Algebra. Simultaneous equation.04 $ 324. Tap for more steps 3x⋅x+3x⋅−4−2x−2⋅ −4 3 x ⋅ x + 3 x ⋅ - 4 - 2 x - 2 ⋅ - 4 Simplify and combine like terms. Factor using the rational roots test. 3x2 = 4 3 x 2 = 4. Tap for more steps Step 3. Step-by-step explanation: (3x+2)(x-4)=0 .3. Let . 3x+2=x+4(x+2) One solution was found : x = -3 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3x^{2} en. x−4 = 0 x - 4 = 0. Factor out of . You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C. x 3), and is hard to solve, so let us graph it instead: The zero points are approximately: −1.e. Select a few x x values, and plug them into the equation to find the Algebra Examples. 3x = 2 3 x = 2.3. Integration. Differentiation. Find the properties of the given parabola.200/2. Step 1. The first number in the dividend is put into the first position of the result area (below the horizontal line). Factor using the rational roots test. Factor x^2-3x-4. Calculus. Step 1. Write as an equation. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. As they are 3 and -4 respectively, their product is -12 Now split -12 in two parts whose sum is equal to coefficient of x i. Tap for more steps (x−4)(x+ 1) = 0 ( x - 4) ( x + 1) = 0.This is achieved by dividing both sides of the equation by 3. Directrix: y = −13 2 y = - 13 2. Simplify each term.00/month. Rewrite x4 x 4 as (x2)2 ( x 2) 2. y = x2 + 3x − 4 y = x 2 + 3 x - 4. Step 1. Rewrite the function as an equation.1. Simultaneous equation. Rewrite as . Factor the left side of the equation. Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess work. Step 1.195823431 Step by step solution : Step 1 :Equation at the end of step 1 : ( (0 - (x3)) + 3x2) + 2 Two numbers r and s sum up to 3 exactly when the average of the two numbers is \frac{1}{2}*3 = \frac{3}{2}. Factor out of . Cooking Calculators. Step-1 : Multiply the coefficient of the first term by the constant 3 • 4 = 12. Solution Verified by Toppr In the given polynomial 3x2 −x−4, The first term is 3x2 and its coefficient is 3. Substitute u u for all occurrences of x2 x 2. Tap for more steps y = 2 3x− 4 y = 2 3 x - 4. Step 2.5 out of 5 stars 70 ratings. Tap for more steps Direction: Opens Up. Tap for more steps Step 2.1. Limits. Write the factored form using these integers. Copy. Tap for more steps Step 1.snoitulos eht dnif ot alumrof citardauq eht esU . 04 $. Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess work. Jul 10, 2016 y intercept occurs at x = 0: 4y = 3(0)−2 y = −21 Similarly, x intercept occurs at y = 0: 4(0) =3x−2 5y=3x-2 Geometric figure: Straight Line Slope = 1. The last term is a constant term −4. Consider the form . Related Symbolab blog posts. Differentiation.1. Solve linear, quadratic, biquadratic. Rewrite the equation as . Learn the basics, check your work, gain insight on different ways to solve problems. Differentiation. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Vertex: (−3 2,−17 4) ( - 3 2, - 17 4) Focus: (−3 2,−4) ( - 3 2, - 4) Axis of Symmetry: x = −3 2 x = - 3 2.eroM daeR ,tsop golb siht nI . Divide each term in by . Write the factored form using these integers. (x−4)(x+ 1) ( x - 4) ( x + 1) See a solution process below: Explanation: To find p(2) substitute (2) for each occurrence of (x) in 2x (4)+3x (3)-4x (2)-3x+2=0 Four solutions were found : x = 1/2 = 0. Matrix. Apply the product rule to 3x 3 x.1. Step 4. Here are some examples illustrating how to ask about factoring. Tap for more steps Step 1. Factor using the AC method. Matrix. Solve your math problems using our free math solver with step-by-step solutions. Step 4. en. Apply the distributive property. Rewrite in slope-intercept form. 3. 2.1. Free math problem solver answers your Solve Using the Quadratic Formula 3x^2-x-2=0. Factor u2 − 3u−4 u 2 - 3 u - 4 using the AC method. Step 2. f (x) = x2 + 3x − 4 f ( x) = x 2 + 3 x - 4.4. Step 2. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Limits. Substitute the values a = 2 a = 2, b = −3 b = - 3, and c = −4 c = - 4 into the quadratic formula and solve for x x. Step 2.195823431 Step by step solution : Step 1 :Equation at the end of step 1 : ( (0 - (x3)) + 3x2) + 2 Two numbers r and s sum up to 3 exactly when the average of the two numbers is \frac{1}{2}*3 = \frac{3}{2}.1. Select two x x values, and plug them into the equation to find the corresponding y y Similar Problems from Web Search.1. x2 − 3x − 4 = 0 x 2 - 3 x - 4 = 0. Tap for more steps −6x2 +8x - 6 x 2 + 8 x. Solve your math problems using our free math solver with step-by-step solutions. Share. 5x-6=3x-8 ; x^2-x-6=0 ; x^4-5x^2+4=0 \sqrt{x-1}-x=-7 \left|3x+1\right|=4 \log _2(x+1)=\log _3(27) 3^x=9^{x+5} Show More; Description. Step 3. Limits. Tap for more steps Replace all occurrences of u u with x2 x 2. Integration. The first term is, 3x2 its coefficient is 3 . u2 − 3u−4 = 0 u 2 - 3 u - 4 = 0 Factor u2 − 3u−4 u 2 - 3 u - 4 using the AC method. x−1 = 0 x - 1 = 0. Step 2.2. Step 1. Find the point at .3. Differentiation. Factor out of . It shows you the solution, graph, detailed steps and explanations for each problem. Integration. If a polynomial function has integer coefficients, then every rational zero will have the form where is a factor of the constant and is a factor of the leading coefficient. Divide each term in 3x = 2 3 x = 2 by 3 3 and simplify.tpecretni-y eht si dna epols eht si erehw , si mrof tpecretni-epols ehT . The last term, "the constant", is +4. Find a pair of integers whose product is and whose sum is .3, 4 Factorise: (iv) 3x2 x 4 3x2 x 4 We factorize using the splitting the middle term method = 3x2 4x + 3x 4 = x (3x 4) + 1 (3x 4) = (3x 4) (x + 1) Next: Ex 2. Show more. Enter a problem.3. Tap for more steps Slope: 2 3 2 3. NCERT Solutions For Class 12. Step 1.1. Since both terms are perfect squares, factor using the difference of squares Solve by Factoring x^4-3x^2+2=0. Study Materials. Finally, result is (x2 2x2 −7x−15 Explanation: ( 2x+3)(x−5) So use a foil technique ( First Outside Inside Last) So 2x 3 (2x-4)=36 One solution was found : x = 8 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : x ^ 2 +\frac{11}{3}x -\frac{4}{3} = 0. Replace the variable with in the expression. (x+1) (x+2) (Simplify Example), 2x^2+2y @ x=5, y=3 (Evaluate Example) y=x^2+1 (Graph Example), 4x+2=2 (x+6) (Solve Example) Algebra Calculator is a calculator that gives step-by … Solve Using the Quadratic Formula 3x^2-x-4=0 3x2 − x − 4 = 0 3 x 2 - x - 4 = 0 Use the quadratic formula to find the solutions. Quadratic equation { x } ^ { 2 } - 4 x - 5 = 0. Directrix: y = −49 12 y = - 49 12. Step 2. 4 \sin \theta \cos \theta = 2 \sin \theta. Step 4.1. Step 4. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 3⋅−4 = −12 a ⋅ c = 3 ⋅ - 4 = - 12 and whose sum is b = −4 b = - 4. Now, subtract x from both sides: x + 6 Use the distributive property to multiply x^{4}-4x^{3}-x^{2}+4 by x^{2}+2 and combine like terms. Show more. Explanation: If x=4, then substitute x for 4, multiply by 3 since 3 was being multiplied by x, then subtract 2. Differentiation. 1: 2: 3: 4: 5: 6: 7: 8: 9: 0. Step 2.1. Popular Problems.1. Step 2. Tap for more steps Step 2. Step 1. Simplify by subtracting numbers. Place the numbers representing the divisor and the dividend into a division-like configuration.4. Solve your math problems using our free math solver with step-by-step solutions. Step 2. Amazon Brand - Denali by SKIL 2 x 20V (40V) Brushless 18-Inch Push Lawn Mower Kit, Includes Two 4. Factoring is the process Read More. Step 1. Arithmetic. Factor using the AC method. Solve for . Step 1. Divide each term in 3x2 = 4 3 x 2 = 4 by 3 3 and simplify.

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Multiply polynomials step-by-step. Find the properties of the given parabola. −4,1 - 4, 1. Solve your math problems using our free math solver with step-by-step solutions. absolute and radical equations, step-by-step. Solve your math problems using our free math solver with step-by-step solutions. 3x-2. Factor x3 − 3x−2 x 3 - 3 x - 2 using the rational roots test., < > ≤: ≥ ^ √: ⬅: : F _ ÷ | (* / ⌫ A: ↻: x: y = +-G 3x^{2}-x-4=3\left(x-\frac{4}{3}\right)\left(x-\left(-1\right)\right) Factor the original expression using ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right).3, 5 (i) Deleted for CBSE Board 2024 Exams → Ask a doubt. 43x = 42 4 3 x = 4 2. Graph y=x^2+3x-2. Save to Notebook! Sign in. Find the properties of the given parabola.5. First, let's put it in standard form: x 3 − 3x 2 − x + 4 ≥ 0.1. a can't be 0.5 3.2. Tap for more steps x2 = 4 3 x 2 = 4 3. Starting at $5.com See what teachers have to say about Brainly's new learning tools! x4-2x3-x2-2x+1=0 One solution was found : x ≓ 0.0 | Connect Up To 4 Displays ; RGB Lighting: Customize RGB lighting colors and effects and bring your Predator BiFrost Intel Arc A770 OC graphics card to life ; AI-Enhanced Upscaling with Xe Super Sampling | DirectX 12 Ultimate and Ray Tracing 3x^{2} - x - 4 = 0. To avoid ambiguous queries, make sure to use parentheses where necessary.1 and 3 x DisplayPort 2. Tap for more steps Simplify (x-4)(x^2+3x+2) Step 1.noitarugifnoc ekil-noisivid a otni dnedivid eht dna rosivid eht gnitneserper srebmun eht ecalP . Matrix. Replace the variable with in the expression. Simplify (3x)^2.5.1.2.2. Use the distributive property to multiply 3 by x-2. -1. Consider the form . Factor x^4-4x^3+x^2-4x. Step 1. You write down problems, solutions and notes to go back Read More. Step 2. Limits. Step 1: Guess one root. Copied to clipboard. Limits. Vertex: (0,−4) ( 0, - 4) Focus: (0,−47 12) ( 0, - 47 12) Axis of Symmetry: x = 0 x = 0. Add to both sides of the equation. Expand by multiplying each term in the first expression by each term in the second expression. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a Substitute the values a = 3 a = 3, b = −1 b = - 1, and c = −4 c = - 4 into the quadratic formula and solve for x x. Subtract from both sides of the equation. Matrix. Replace the variable with in the expression. The middle term is −x and its coefficient is −1. Step 1. Simplify and combine like terms. Consider the form .3 ]) x2 - ( x5[ = 3 + ]) x2 - ( x2[ :edis dnah thgir eht no "x" elbairav eht etalosI ). Rewrite the trinomial as … 3 x 2 − x − 4. Add 4 4 to both sides of the equation.66667 y-intercept = -2/5 = -0. Find a pair of integers whose product is and whose sum is .500 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : Simplify -2x (3x-4) −2x(3x − 4) - 2 x ( 3 x - 4) Simplify by multiplying through. In this blog post, Read More. Use the quadratic formula to find the solutions. Let . Solve by Factoring x^2-3x+2=0. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Write f (x) = x2 + 3x−4 f ( x) = x 2 + 3 x - 4 as an equation.600 x-intercept = 2/3 = 0. List all candidates \frac{p}{q}. Step 1.2. Simplify terms.2.3. Linear equation. Multiply the coefficient of the first term by the constant 3×−4 = −12.2. Solve each factor. Integration. Simplify terms. Factor by grouping. Get detailed solutions to your math problems with our Limits to Infinity step-by-step calculator. 3x ^2-12x+2x-8=0. Rewrite as . Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.5. Example: 2x-1=y,2y+3=x.1. Tap for more steps Step 5. equation-calculator. Tap for more steps Step 5. Vertex: (−1 3,−13 3) ( - 1 3, - 13 3) Focus: (−1 3,−17 4) ( - 1 3, - 17 4) Axis of Symmetry: x = −1 3 x = - 1 3. Tap for more steps Step 2. List all such integer pairs Example: x 3 + 4 ≥ 3x 2 + x.e. Tap for more steps Replace all occurrences of u u with x2 x 2. Divide x^{4}+2x^{3}-2x^{2}+2x-3 by x-1 to get x^{3}+3x^{2}+x+3. Tap for more steps 3(x2 + x−2) 3 ( x 2 + x - 2) Factor. Solve by Factoring x^2-3x-4=0. NCERT Solutions. Type in any equation to get the solution, steps and graph. Factor using the AC method. Solve for x 4^ (3x)=4^2. Since the bases are the same, then two expressions are only equal if the exponents are also equal. Integration.3. This is a cubic equation (the highest exponent is a cube, i.0 Ah Lithium Batteries & Dual Port Charger . Factor x2 − 3x+2 x 2 - 3 x + 2 using the AC method. Since the last term in the resulting expression is a fraction, the numerator of the fraction is the remainder. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Next, use the negative value of the to find the second solution. To solve the equation for different variables step-by-step clear any fractions by multiplying both sides of the equation by the LCM of the denominators.3, 5 (i) Deleted for CBSE Board … Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Solve by Factoring x^4-3x^2-4=0.2.3. The correct answer is x=4. Find the properties of the given parabola. Multiply the coefficient of the first term by the constant 3×−4 = −12. Differentiation. Graph f (x)=3x^2+2x-4. Tap for more steps Step 1. Tap for more steps Direction: Opens Up. Get step-by-step answers and hints for your math homework problems.1. Factor x2 − 3x−4 x 2 - 3 x - 4 using the AC method. Check out all of our online calculators here. Substitute for all occurrences of . Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess work. Popular Problems Algebra Solve by Factoring x^4-3x^2-4=0 x4 − 3x2 − 4 = 0 x 4 - 3 x 2 - 4 = 0 Rewrite x4 x 4 as (x2)2 ( x 2) 2.1. Tap for 3x-4=-17 One solution was found : x = -13/3 = -4. en. A quadratic equation is a second degree polynomial having the general form ax^2 + bx + c = 0, where a, b, and c Save to Notebook! Free equations calculator - solve linear, quadratic, polynomial, radical, exponential and logarithmic equations with all the steps. How do you factor a trinomial? To factor a trinomial x^2+bx+c find two numbers u, v that multiply to give c and add to b. Related Symbolab blog posts. Substitute for all occurrences of . NCERT Solutions. Find the properties of the given parabola. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.1. We can use Quadratic Formula.4. Differentiation. Interchange the variables. … Factorize: 3x^2 x 4 Get the answer to this question and access a vast question bank that is tailored for students. Linear equation. Tap for more steps Step 1. Factor it and set each factor to zero. 10 If x=4, then substitute x for 4, multiply by 3 since 3 was being multiplied by x, then subtract 2. Step 1: The left side of equation is 3 x (x - 2), so multiply x - 2 by 3. Step 3. (2x^2-1)(-x^2-6) (x^2+2x-1)\cdot(2x^2-3x+6) 4x(4x-2)(x^2-3) Show More; Description. Step 1. For chemistry, calculus, algebra, trigonometry, equation solving, basic math and more. To use the direct factoring method, the equation must be in the form x^2+Bx+C=0.2. Pre-Algebra. Divide each term in by and simplify. x ^ 2 +\frac{1}{3}x -\frac{4}{3} = 0. Vertex: (−3 2,−25 4) ( - 3 2, - 25 4) Focus: (−3 2,−6) ( - 3 2, - 6) Axis of Symmetry: x = −3 2 x = - 3 2. Step 1. Since both terms are perfect squares, factor using the difference of squares Solve by Factoring x^4-3x^2+2=0. Find a pair of integers whose product is and whose sum is . en. Integration. Limits. (2x^2-1)(-x^2-6) (x^2+2x-1)\cdot(2x^2-3x+6) 4x(4x-2)(x^2-3) Show More; Description.2. Tap for more steps Step 1. The solution is x = -10. Simplify and combine like terms. Linear equation. Tap for more steps −2⋅3x⋅ x+8x - 2 ⋅ 3 x ⋅ x + 8 x. Isolate the variable, and solve for the variable by undoing any arithmetic Arithmetic. Integration. (x2)2 −3x2 − 4 = 0 ( x 2) 2 - 3 x 2 - 4 = 0 Let u = x2 u = x 2. Step 5. Step 5. ±3,±1 . Step 11. Step 11. NCERT Solutions For Class 12 Physics; NCERT Solutions For Class 12 Chemistry; 3x2 − x − 2 = 0 3 x 2 - x - 2 = 0. Tap for more steps Step 1. The final solution is all the values Factor 3x^2-4x-4.1.333 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : Calculus Examples. Find the Remainder (3x^4-x^2)/(x^3-x^2+1) Step 1. Step 1. Click here 👆 to get an answer to your question ️ Factor completely 3x2 − x − 4. Tap for more steps Step 1.1. Rewrite as . 3x^2-x-4=(x+1)(3x-4) To factorize 3x^2-x-4 first multiply coefficient of x^2 and constant term. Example 04: Solve the equation $ 2x^3 - 4x^2 - 3x + 6 = 0 $.1. Middle School Math Solutions - Polynomials Calculator, Factoring Quadratics.1. Set up the polynomials to be divided. Consider the form . Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess work. Tap for more steps 3(x−1)(x +2) 3 ( x - 1) ( x + 2) Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by Matrix. Set 3x+2 3 x + 2 equal to 0 0 and solve for x x. Explanation: First convert the standard equation for a line to the slope-intercept form by solving for y . Let u = x2 u = x 2. Now the clever bit: Take the coefficient of x , which is 3 , divide by two, giving 3/2 , and finally square it giving 9/4.1. 9x2 9 x 2. At x=2 we have: (0)/(x−4) > 0, which is a "=0" point Write down the equation: 2x + 3 = 5x - 2. Step 4. Explanation: To solve the equation 2(x+3) = x-4, you need to simplify each side of the equation by applying the distributive property and combining like terms. Substitute u u for all occurrences of x2 x 2. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.500 x = 1 x = -1 x = -2 Step by step solution : Step 1 :Equation at the end of step 1 : How do you find all the zeros of f (x) = x4 + 3x3 − 4x2 − 12x with its Divide Using Synthetic Division (x^3+3x^2-x-3)÷(x-1) Step 1.This is achieved by dividing both sides of the equation by 3. To use the direct factoring method, the equation must be in the form x^2+Bx+C=0. Ex 2. 3x+2 = 0 3 x + 2 = 0.) "x" is the unknown. y-intercept: (0,−4) ( 0, - 4) Any line can be graphed using two points.3.1 Factoring x2+3x-4 The first term is, x2 its coefficient is 2x2+3x-4 Final result : 2x2 + 3x - 4 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 + 3x) - 4 Step 2 Arithmetic. Tap for more steps Step 2. 3±√(−3)2 −4 ⋅(2⋅−4) 2⋅ Simplify (3x-4)(2x-5) Step 1. To use the direct factoring method, the equation must be in the form x^2+Bx+C=0. Use the slope-intercept form to find the slope and y-intercept. (3x)2 ( 3 x) 2. Middle School Math Solutions - Polynomials Calculator, Multiplying Polynomials. Step 2. Factor out of . If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0.1.1. Find the Properties f (x)=x^2+3x-4. Enter a problem. Raise to the power of . Matrix. Step 2. Consider the form .9; And from the graph we can see the intervals where it is greater than (or Two numbers r and s sum up to -3 exactly when the average of the two numbers is \frac{1}{2}*-3 = -\frac{3}{2}. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C. Study Materials. 1: 2: 3: 4: 5: 6: 7: 8: 9: 0. Free Online Factoring Solver helps you to … Get Step by Step Now. Step 3. For chemistry, … Transcript. Is there a step by step calculator for physics? Solve Solve for x x = 1 View solution steps Graph Graph Both Sides in 2D Graph in 2D Quiz Linear Equation 3x+2 = x+4 Videos Finding zeros of polynomials (1 of 2) Khan Academy Completing solutions to 2-variable equations Khan Academy Limits by factoring Khan Academy Exponent properties with quotients Khan Academy 【高校 数学Ⅰ】 数と式1 単項式·多項式 (8分) YouTube Algebra Examples. Integration. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Two numbers r and s sum up to -3 exactly when the average of the two numbers is \frac{1}{2}*-3 = -\frac{3}{2}. Since ab is negative, a and b have the opposite signs. x2+3x-4 Final result : (x + 4) • (x - 1) Step by step solution : Step 1 :Trying to factor by splitting the middle term 1. To solve the equation 2(x+3) = x-4, simplify each side and solve for x. Tap for more steps Step 1. Get step-by-step answers and hints for your math homework problems. High School Math Solutions – Systems of Equations Calculator, Elimination. Enter a problem.Free math problem solver answers your algebra homework questions with step-by-step explanations. My Notebook, the Symbolab way. Arithmetic. Starting at $5. Step 1. Step 4. To factor a binomial, write it as the sum or difference of two squares or as the difference of two cubes. Limits. Then multiply 2 by (x−4)/(x−4): 3x−10x−4 − 2 x−4x−4 > 0. polynomial-multiplication-calculator. If the real roots exist, find them: (ii) 3x2 - 4 √3 x + 4 = 0 3x2 - 4√3 x + 4 = 0 Comparing equation with ax2 + bx + c = 0 a = 3, b = - 4√𝟑, c = 4 We know that D = b2 - 4ac D = ( - 4√𝟑 )2 - 4 ×𝟑×𝟒 D =. Step 4.1. Linear equation.1. As they are 3 and -4 respectively, their product is -12 Now split -12 in two parts whose sum is equal to coefficient of x i. Reorder terms.2. Since the last term in the resulting expression is a fraction, the numerator of the fraction is the remainder. Factor 3 3 out of 3x2 +3x−6 3 x 2 + 3 x - 6. Raise 3 3 to the power of 2 2. Type in any equation to get the solution, steps and graph Graph f(x)=3x-4. If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. Limits. Arithmetic. The values of x that satisfy the equation are called … Solve an equation, inequality or a system. In this case, whose product is −4 - 4 and whose sum is −3 - 3. Tap for more steps Step 1. parametric plot3D {s^2 - 3 s - 4, t^2 - 3 t - 4, (s + t)^2 - 3 (s + t) - 4} from s = -1 to 1 and t = -1 to 1. Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients: 3x2 – x – 4. Step 1.) We get: 3 = 3x - 2, now er can add 2 to both sides: [3 ( + 2 )] = 3x [- 2 ( + 2 )] 4. Rewrite the function as an equation. Related Symbolab blog posts. Step 5. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. The solutions are the solutions of the polynomial equation. Simplify: x−2x−4 > 0 . Divide Using Synthetic Division (x^4-3x^3+3x^2-3x+6)÷(x-2) Step 1.

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An example with three indeterminates is x³ + 2xyz² − yz + 1. See More Examples » x+3=5 1/3 + 1/4 y=x^2+1 Solve Using the Quadratic Formula 3x^2-x-4=0 3x2 − x − 4 = 0 3 x 2 - x - 4 = 0 Use the quadratic formula to find the solutions. High School Math Solutions - Systems of Equations Calculator, Elimination. Related Symbolab blog posts. Tap for more steps Step 3. To solve a cubic equation, the best strategy is to guess one of three roots. Distribute the 2 to both x and 3: 2x + 6 = x - 4. 1. Starting at $5.4.2 Tap for more steps Step 1.This is achieved by dividing both sides of the equation by 3. Related Symbolab blog posts. Two numbers r and s sum up to -3 exactly when the average of the two numbers is \frac{1}{2}*-3 = -\frac{3}{2}. Arithmetic. Solve your math problems using our free math solver with step-by-step solutions. Step 2. Cooking Calculators. Step-2 : Find two factors of 12 whose sum equals the coefficient of the middle term, which is -1 . Let u = x2 u = x 2. This produces the result 3x - 6, so the original equation can be rewritten as: 3x - 6 = x - 8. The rule states that the square of the sum (or difference) of two terms is equal to the sum (or difference) of the squares of the terms plus twice the product of the terms. Rewrite the trinomial as the product of two binomials (x-u) (x-v) 3 x 2 − x − 4. Solve an equation, inequality or a system. Graph f(x)=4/3x-2. Tap for more steps Step 1. Step 1. 5x-6=3x-8 ; x^2-x-6=0 ; x^4-5x^2+4=0 \sqrt{x-1}-x=-7 \left|3x+1\right|=4 \log _2(x+1)=\log _3(27) 3^x=9^{x+5} Show More; Description. In this case, whose product is and whose sum is . Get all the terms with the wanted variable on one side of the equation and all the other terms on the other side. Rewrite the equation in vertex form. Simplify each term. Substitute into the equation. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Tap for more steps Step 2.2. Step 1. Algebra Simplify (3x-2) (x-4) (3x − 2) (x − 4) ( 3 x - 2) ( x - 4) Expand (3x−2)(x− 4) ( 3 x - 2) ( x - 4) using the FOIL Method. Solve by Factoring x^2-3x-4=0. Vertex: (−3 2,−25 4) ( - 3 2, - 25 4) Focus: (−3 2,−6) ( - 3 2, - 6) Axis of Symmetry: x = −3 2 x = - 3 2. absolute and radical equations, step-by-step. Step 2: The equation to be More Items. The middle term is, -x its coefficient is -1 . -1. Send us Feedback. Solve your math problems using our free math solver with step-by-step solutions. Step 1. If we have an equation with the following Standard Form , ax2 + bx + c = 0 (a, b and c are known values.1. To factor the result, solve the equation where it equals to 0. Directrix: y = −9 2 y = - 9 2. Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess work. Substitute for all occurrences of . Simultaneous equation. Use the vertex form, y = a(x−h)2 +k y = a ( x - h) 2 + k Ex 4. Trigonometry. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. 1,-4 2,-2 . Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. 100+ bought in past month. Limits. Find a pair of integers whose product is c c and whose sum is b b. Arithmetic. Solve linear, quadratic, biquadratic. Second, let us find "points of interest". Step 1. Tap for more steps Step 1. In this case, whose product is and whose sum is . Simultaneous equation. Raise to the power of . Math notebooks have been around for hundreds of years. Tap for more steps Step 1. Example: 2x-1=y,2y+3=x. factor quadratic x^2-7x+12 expand polynomial (x-3) (x^3+5x-2) GCD of x^4+2x^3-9x^2+46x-16 with x^4-8x^3+25x^2-46x+16 Get Step by Step Now. Simplify each term. Select a few x x values, and plug them into the equation to find the Algebra Examples. Free equations calculator - solve linear, quadratic, polynomial, radical, exponential and logarithmic equations with all the steps. An example of a polynomial of a single indeterminate x is x² − 4x + 7. Algebra. Tap for more steps 3x(3x)+3x⋅4−4(3x)−4⋅ 4 3 x ( 3 x) + 3 x ⋅ 4 - 4 ( 3 x) - 4 ⋅ 4. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 3 and q divides the leading coefficient 1. - brainly. Describe the graph that would be used to solve the equation -x2 + 4 = x + 2 using a system of equations.) We now get: 5 = 3x, now divide both sides by 3: 4(3x+2)=14 One solution was found : x = 1/2 = 0. Solve Using the Quadratic Formula 2x^2-3x-4=0. Tap for more steps Step 3. Arithmetic. Expand by multiplying each term in the first expression by each term in the second expression.1 Factoring 3x2-x+4. Step 5. 3x2 − x − 2 = 0 3 x 2 - x - 2 = 0. Differentiation. Ex 2.2. Factor out of . Differentiation. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.1. Directrix: y = −13 2 y = - 13 2. Substitute \frac{4}{3} for x_{1} … Solve Quadratic equation x2 − 4x − 5 = 0 Trigonometry 4sinθcosθ = 2sinθ Linear equation y = 3x +4 Arithmetic 699 ∗533 Matrix [ 2 5 3 4][ 2 −1 0 1 3 5] Simultaneous equation { 8x + 2y = 46 7x + 3y = 47 Differentiation dxd (x … Examples: 1+2 , 1/3+1/4 , 2^3 * 2^2. 3x2 + 3x − 6 3 x 2 + 3 x - 6. Tap for more steps (x−2)(x− 1) = 0 ( x - 2) ( x - 1) = 0.e.
1; 1
. Solve your math problems using our free math solver with step-by-step solutions.1. 3x^2-x-4=(x+1)(3x-4) To factorize 3x^2-x-4 first multiply coefficient of x^2 and constant term. 43x = 42 4 3 x = 4 2. Solve for x 3x-2=4. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C. Step 3. How do you factor a trinomial? To factor a trinomial x^2+bx+c find two numbers u, v that multiply to give c and add to b. Matrix. Algebra. Rewrite the equation in vertex form. 3x-6=x+7 . Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by To solve the equation, factor x^{2}-3x-4 using formula x^{2}+\left(a+b\right)x+ab=\left(x+a\right)\left(x+b\right). Simultaneous equation. Learn the basics, check your work, gain insight on different ways to solve problems.2.2. Click here:point_up_2:to get an answer to your question :writing_hand:solve displaystyle 3x2 4 sqrt 3x 4 0 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Factor out of . Middle School Math Solutions – … To factor a binomial, write it as the sum or difference of two squares or as the difference of two cubes. Expand using the FOIL Method. This will make the quadratic formula easy to use.This is achieved by dividing both sides of the equation by 3. Arithmetic. Matrix. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Just like numbers have factors (2×3=6), expressions have factors ( (x+2) (x+3)=x^2+5x+6).00/month. Rewrite using the commutative property of multiplication.1. 3x2 − 4 = 0 3 x 2 - 4 = 0. Login. If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. 699 * 533. Step 2.000 = 0. Differentiation. Linear equation.1. Simplify the result. Find a pair of integers whose product is and whose sum is . y = x2 +3x−4 y = x 2 + 3 x - 4. Solve your math problems using our free math solver with step-by-step solutions. Step 1. Simplify (3x-4) (3x+4) (3x − 4) (3x + 4) ( 3 x - 4) ( 3 x + 4) Expand (3x−4)(3x+ 4) ( 3 x - 4) ( 3 x + 4) using the FOIL Method.4. Subtract from . How will you use the graph to find the solution (s)? The graph contains a parabola that opens down and has a vertex at (0, 4). Step 1. Use the slope-intercept form to find the slope and y-intercept. Step 2. Cooking Measurement Converter Cooking Ingredient Converter Cake Pan Converter See more. Convert to decimal.2. Find the Inverse f(x)=3x-2.2. To calculate the remainder, first divide the polynomials. Euan S. Q2. Add 1 to both side of the equation : x2-3x = 1. View Solution. Simplify each term. For chemistry, calculus, algebra, trigonometry, equation solving, basic math and more. Integration. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line. Factor out the greatest common factor from each group. Tap for more steps Step 1. The middle term is −x and its coefficient is −1. Tap for more steps Step 2. Factor using the AC method. Tap for more steps Factor x2 − x−2 x 2 - x - 2 using the AC method. Algebra. Factor completely 3x2 − x − 4. Graph y=x^3-3x^2+2x. Solve for x 3x^2-4=0. If a polynomial function has integer coefficients, then every rational zero will have the form where is a factor of the constant and is a factor of the leading coefficient. Step 1. Related Symbolab blog posts. Rewrite in slope-intercept form. Limits. Popular Problems Algebra Factor 3x^2-x-4 3x2 − x − 4 3 x 2 - x - 4 For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 3⋅−4 = −12 a ⋅ c = 3 ⋅ - 4 = - 12 and whose sum is b = −1 b = - 1. Text mode. Factor P(x)=x^3+3x^2-4.1. Step 3. Multiply by by adding the exponents. Factor out of . x4-4x3+4x2 Final result : x2 • (x - 2)2 Step by step solution : Step 1 :Equation at the end of step 1 : ( (x4) - (4 • (x3))) + 22x2 Step 2 :Equation at the end of step 2 : ( (x4) - 22x3) + 22x2 -x3+3x2+2=0 One solution was found : x ≓ 3. x4-4x3+4x2 Final result : x2 • (x - 2)2 Step by step solution : Step 1 :Equation at the end of step 1 : ( (x4) - (4 • (x3))) + 22x2 Step 2 :Equation at the end of step 2 : ( (x4) - 22x3) + 22x2 -x3+3x2+2=0 One solution was found : x ≓ 3. Integration. Cooking Calculators. Free factoring calculator - Factor quadratic equations step-by-step. Factor out of . A system of equations is a collection of two or more equations with the same set of variables. Tap for more steps 3x2 + 3x−4x−4 3 x 2 + 3 x - 4 x - 4 In mathematics, a polynomial is a mathematical expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. In this case, whose product is and whose sum is . Differentiation.2. Let .1. To calculate the remainder, first divide the polynomials. Step 3.00/month. The perfect square rule is a technique used to expand expressions that are the sum or difference of two squares, such as (a + b)^2 or (a - b)^2. Graph y=x^2+3x-2. equation-calculator. Tap for more steps 3x2 − 14x+8 3 x 2 - 14 x + 8 3x^{2} en.1. Max Resolution: 7680 x 4320 | Ports: 1 x HDMI 2. The last term is a constant term −4. Step 1.1. Tap for more steps Direction: Opens Up.3, 1 Find the nature of the roots of the following quadratic equations. Solve your math problems using our free math solver with step-by-step solutions.1. x2 − 3x + 2 = 0 x 2 - 3 x + 2 = 0. Learn the basics, check your work, gain insight on different ways to solve problems.2. Create equivalent expressions in the equation that all have equal bases.0 = }3{}4{carf\+ x}3{}7{carf\+ 2 ^ x 1 3⋅2 )2−⋅3(⋅ 4− 2)1−(√±1 .1. Set the equal to . Limits. 2. Tap for more steps Step 3. The graph contains a line that has a slope of 1 and a y-intercept of 2. A system of equations is a collection of two or more equations with the same set of variables. Simultaneous equation.2.3, 4 Factorise: (iv) 3x2 x 4 3x2 x 4 We factorize using the splitting the middle term method = 3x2 4x + 3x 4 = x (3x 4) + 1 (3x 4) = (3x 4) (x + 1) Next: Ex 2. Use the slope-intercept form to find the slope and y-intercept.6. Tap for more steps Step 1. y = x2 + 3x − 2 y = x 2 + 3 x - 2. Examples. Slope-intercept form is y = mx+b A circle touches two perpendicular lines 2x − 3y = 15 and 3x + 2y = 3 at the points A(6,−1) , B (1,0) x2+y2 −8x−4y +7 = 0 Explanation: The tangent to a circle x2 +y2 +2ax+2by +c = 0 at the Popular Problems Algebra Simplify (x-4) (x^2+3x+2) (x − 4) (x2 + 3x + 2) ( x - 4) ( x 2 + 3 x + 2) Expand (x−4)(x2 +3x+2) ( x - 4) ( x 2 + 3 x + 2) by multiplying each term in the first expression by each term in the second expression. For math, science, nutrition, history Roots of cubic polynomial.2. Tap for more steps 9x2 − 16 9 x 2 - 16. Step 1. Tap for more steps Step 2.2.
 Simultaneous equation
.1. Simplify each term.1. Rewrite 4 4 as 22 2 2. Multiply by . x⋅x2 +x(3x)+x⋅2− 4x2 −4(3x)− 4⋅2 x ⋅ x 2 + x ( 3 x) + x ⋅ 2 - 4 x 2 - 4 ( 3 x) - 4 ⋅ 2 Simplify terms. 3x ^2-10x-8=0. Step 2. Tap for more steps Solve your math problems using our free math solver with step-by-step solutions. Click here:point_up_2:to get an answer to your question :writing_hand:solve displaystyle 3x2 4 sqrt 3x 4 0 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Take the specified root of both sides of the equation to eliminate the exponent on the left side.1. Select a few x x values, and plug them into the equation to find the corresponding y y values. Matrix. x ^ 2 +\frac{1}{3}x -\frac{4}{3} = 0. We now find the factor of −12 whose sum equals the coefficient of the middle term, which Factor x^3-3x^2+3x-1. Simplify the result. Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients: 3x2 - x - 4. Consider the form . Delivery & Support Select to learn more . Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. y = 3x2 − 4 y = 3 x 2 - 4. Rewrite 4 4 as 22 2 2. limx → ∞ ( 2x3 − 2x2 + x − 3 x3 + 2x2 − x + 1 ) Go! Math mode.2. Find the Roots (Zeros) x^4-3x^2-4=0. Factor out the greatest Nest [Power [#, #]&, x^2 - 3 x - 4, 4] fundamental theorem of algebra. Tap for more steps Step 2. Step 1. The solution (s) to a quadratic equation can be calculated using the Quadratic Formula: The "±" means we need to do a plus AND a minus, so there are normally TWO solutions ! The blue part ( b2 - 4ac) is called the "discriminant", because it can "discriminate" between the possible types of answer: when it is negative we get complex solutions.40000 Rearrange: Rearrange the equation by subtracting what is Free math problem solver answers your algebra homework questions with step-by-step explanations.2. Simplify (3x^2+x-4)(2x-5) Step 1. Explanation: If x=4, then substitute x for 4, multiply by 3 since 3 was being multiplied by x, then subtract 2. Simultaneous equation. 1±√(−1)2 −4 ⋅(3⋅−4) 2⋅3 1 ± ( - 1) 2 - 4 ⋅ ( 3 ⋅ - 4) 2 ⋅ 3 Factoring Tips for entering queries Enter your queries using plain English. Factor out of . y = 3x + 4.1. Find the properties of the given parabola. In the given polynomial 3x2 −x−4, The first term is 3x2 and its coefficient is 3. Integration. To use the direct factoring method, the equation must be in the form x^2+Bx+C=0.. Add 9/4 to both sides of the equation : On the right hand side we have : 1 + 9/4 or, (1/1)+ (9/4) To solve a polynomial equation write it in standard form (variables and canstants on one side and zero on the other side of the equation). Tap for more steps Algebra. Consider the form x2 + bx+c x 2 + b x + c. Solve Quadratic equation x2 − 4x − 5 = 0 Trigonometry 4sinθcosθ = 2sinθ Linear equation y = 3x +4 Arithmetic 699 ∗533 Matrix [ 2 5 3 4][ 2 −1 0 1 3 5] Simultaneous equation { 8x + 2y = 46 7x + 3y = 47 Differentiation dxd (x −5)(3x2 −2) Integration ∫ 01 xe−x2dx Limits x→−3lim x2 +2x −3x2 −9 More Examples Pre-Algebra What do you want to calculate? Calculate it! Examples: 1+2 , 1/3+1/4 , 2^3 * 2^2 (x+1) (x+2) (Simplify Example), 2x^2+2y @ x=5, y=3 (Evaluate Example) y=x^2+1 (Graph Example), 4x+2=2 (x+6) (Solve Example) Algebra Calculator is a calculator that gives step-by-step help on algebra problems.