Free Algebra Calculator with Step-by-Step Solutions

Master algebra with our comprehensive algebra calculator that solves equations, simplifies expressions, factors polynomials, and expands algebraic expressions. Get instant step-by-step solutions that help you understand the problem-solving process and improve your algebraic skills.

Whether you're solving linear equations like 2x + 5 = 11, factoring expressions like x² - 4, or simplifying complex polynomials, our calculator provides clear, detailed solutions that show every step of the process. Perfect for students, teachers, and anyone learning algebra.

Algebra Calculator

Solve for x in equations like 2x + 5 = 11

Try example: 2x + 5 = 11

Understanding Algebraic Operations

Solving Linear Equations

Basic Steps

  1. Isolate the variable term on one side
  2. Move constants to the other side
  3. Divide by the coefficient of the variable
  4. Check your solution by substituting back

Example

2x + 5 = 11
2x = 11 - 5
2x = 6
x = 3

Factoring Expressions

Common Methods

  • Greatest Common Factor (GCF)
  • Difference of squares: a² - b²
  • Trinomial factoring: ax² + bx + c
  • Grouping method for four terms

Example

x² - 4
= x² - 2²
= (x + 2)(x - 2)

Practice Problems

Try these sample problems to practice different algebraic operations:

Linear Equations

Simplification

Factoring

Expansion

Educational Note: This algebra calculator is designed for educational purposes and supports basic algebraic operations. For complex equations or advanced mathematical concepts, consult your textbook or instructor for comprehensive solutions and explanations.