Math

Algebra Calculator

Solve linear and quadratic equations with step-by-step solutions.

Linear Equation

ax + b = c

?x + ? = ?

Try:

Quadratic Equation

ax²+bx+c=0

?x² + ?x + ? = 0

Try:

Quadratic Formula

x = (−b ± √(b²−4ac)) / 2a

Δ > 0

Two distinct real roots

Δ = 0

One repeated real root

Δ < 0

Two complex conjugate roots

Vieta's Formulas

For ax² + bx + c = 0 with roots x₁, x₂:

Sum of rootsx₁ + x₂ = −b / a
Product of rootsx₁ × x₂ = c / a
Factored forma(x − x₁)(x − x₂) = 0

Algebraic Identities

(a+b)²= a² + 2ab + b²
(a−b)²= a² − 2ab + b²
(a+b)(a−b)= a² − b²
(a+b)³= a³ + 3a²b + 3ab² + b³
(a−b)³= a³ − 3a²b + 3ab² − b³

Completing the Square

Alternative method for ax² + bx + c = 0:

1. x² + (b/a)x = −c/a

2. add (b/2a)² to both sides

3. (x + b/2a)² = (b²−4ac) / 4a²

4. x = −b/2a ± √(b²−4ac) / 2a

FAQ

Frequently asked questions.

What calculator should I use for algebra?

For solving algebra problems online, a dedicated algebra calculator like those found on MathPapa, Symbolab, or Mathway is the best choice. These tools accept typed expressions and equations, then return step-by-step solutions. Unlike a basic scientific calculator, an online algebra calculator can handle variables, simplify expressions, factor polynomials, and solve systems of equations.

How do I do algebra on a calculator?

To use an online algebra calculator, simply type your equation or expression into the input field using standard notation — for example, enter '3x+2=14' to solve for x. The calculator parses the variable, applies algebraic rules, and returns the solution along with a step-by-step breakdown. Most tools also support inequalities, quadratic equations, and multi-variable systems.

How is algebra calculated?

Algebra is solved by isolating the unknown variable through a sequence of inverse operations — addition, subtraction, multiplication, and division applied to both sides of the equation equally. For quadratic equations, methods such as factoring, completing the square, or the quadratic formula are used. An online algebra calculator automates these steps and shows each transformation so you can follow the logic.

Can my TI-84 do algebra?

Yes, the TI-84 graphing calculator includes a built-in Equation Solver that can find numerical solutions for algebraic equations. It supports graphing functions, building t-charts, solving systems of equations, and evaluating expressions — making it widely used in college algebra courses. However, an online algebra calculator offers more convenience with instant access, symbolic step-by-step solutions, and no hardware required.

Can I solve quadratic equations with this algebra calculator?

Yes, this algebra calculator supports quadratic equations of the form ax² + bx + c = 0. Enter the equation directly and the calculator will apply the quadratic formula or factor the expression, returning both roots along with a full step-by-step solution. Both real and complex (imaginary) roots are handled.

Does the algebra calculator show its work?

Yes, the calculator provides a complete step-by-step breakdown for every problem, not just the final answer. Each algebraic operation — such as combining like terms, distributing, or dividing both sides — is shown on a separate line with a brief explanation. This makes it useful for both checking homework and learning the underlying method.

Can I use the algebra calculator to simplify expressions?

Absolutely. In addition to solving equations, the algebra calculator can simplify algebraic expressions by combining like terms, expanding brackets, and reducing fractions with variables. Simply enter the expression without an equals sign and the tool will return the most simplified form along with the steps taken.

Last updated: August 17, 2026