Math

Algebra Solver

Solve Any Algebra Equation Online

This free algebra solver handles every type of algebraic equation. Type your equation, click Solve, and get instant answers with step-by-step explanations. Unlike paid tools like Symbolab and Mathway, our solver shows complete step-by-step work for free.

Quick Tips

Click to show tips

Try an Example

Pick a scenario to see how the calculator works, then adjust the values

Quadratic Equation

Solve a classic quadratic with two real roots.

Key values: x^2 - 5x + 6 = 0 · Two real roots

Linear Equation

Solve a simple linear equation for x.

Key values: 3x + 7 = 22 · Single root

Transcendental Equation

Find roots of sin(x) = x/3 using numerical methods.

Key values: sin(x) = x/3 · Numerical solution

Cubic with Complex Roots

Solve a cubic equation and show complex roots.

Key values: x^3 + x + 1 = 0 · Complex roots enabled

Documentation

This calculator is also known as Algebra Solver.

Read the complete guide

Types of Algebra Equations

This solver handles all common algebra equation types:

Linear: ax + b = 0 (one solution)
Quadratic: ax^2 + bx + c = 0 (up to two solutions)
Cubic: ax^3 + bx^2 + cx + d = 0 (up to three solutions)
Polynomial: any degree (numerical methods for degree 4+)
Transcendental: sin(x), cos(x), e^x, log(x), etc.

Examples

Solving a Quadratic Equation

Solve x^2 - 5x + 6 = 0.

The discriminant is 25 - 24 = 1 > 0, so there are two real roots: x = 2 and x = 3.

Key takeaway: The solver auto-detects this as quadratic and applies the quadratic formula.

Algebra Problem-Solving Strategy

Approach algebra equations systematically:

Simplify both sides of the equation first
Collect like terms and move them to one side
Identify the equation type (degree determines the method)
Apply the appropriate formula or technique
Check your answer by substitution

Frequently Asked Questions about Algebra Solver

Is this algebra solver free?

Yes, completely free. Unlike Symbolab and Mathway which charge for step-by-step solutions, our solver shows every step at no cost.

What algebra topics does this cover?

It covers equation solving for all single-variable algebraic equations: linear, quadratic, cubic, polynomial, and transcendental (trigonometric, exponential, logarithmic).