Algebra Calculator

Solve linear & quadratic equations, simplify expressions step by step

What is an Algebra Calculator?

An algebra calculator is a free online tool that solves linear equations, quadratic equations, and simplifies algebraic expressions step by step. Whether you need to solve for x, factor polynomials, or simplify complex expressions, this calculator handles it instantly.

How to Use This Calculator

  1. Select equation type — Choose between linear (ax + b = c) or quadratic (ax² + bx + c = 0).
  2. Enter coefficients — Input the values for a, b, and c.
  3. Click Solve — Get the solution with step-by-step working.

Common Algebra Formulas

Linear Equation: ax + b = 0 → x = −b/a

Quadratic Formula: x = (−b ± √(b² − 4ac)) / 2a

Difference of Squares: a² − b² = (a + b)(a − b)

Example: Solving 2x + 6 = 0

Step 1: Subtract 6 from both sides → 2x = −6

Step 2: Divide both sides by 2 → x = −3

Related Math Calculators

Frequently Asked Questions

What types of equations can this solve?

This calculator solves linear equations (one variable), quadratic equations (ax² + bx + c = 0), and can simplify basic algebraic expressions.

How is the quadratic formula used?

The quadratic formula x = (−b ± √(b² − 4ac)) / 2a finds both roots of any quadratic equation. The discriminant (b² − 4ac) determines whether roots are real or complex.

Is this calculator free?

Yes, completely free with no signup required. Use it unlimited times for homework, exams, or professional work.