Free Algebra Calculator - Solve Linear & Quadratic Equations with Step-by-Step Solutions
Solve algebraic equations instantly with detailed step-by-step solutions and verification. Moreover, our advanced algebra calculator handles linear equations, quadratic equations, and polynomial expressions with professional accuracy. Additionally, master algebra concepts through visual solutions and comprehensive explanations designed for students and educators.
Professional equation solving tool trusted by students and educators worldwide
Advanced Algebraic Equation Solver
Solve equations with detailed step-by-step solutions and verification
Equation Type
Equation Input
3x - 7 = 20
5x + 3 = 2x + 18
x² - 5x + 6 = 0
x² - 4 = 0
Verification Settings
Solution Results
x = 5
Primary Solution
Equation Type
Linear
Solution Method
Variable Isolation
Verification
Valid ✓
1
Solutions Found
Simple
Complexity
Real
Solution Type
Step-by-Step Solution
Algebraic Equation Type Comparison
Compare different equation types and their solving methods. Moreover, understand characteristics and solution approaches for various algebraic expressions and mathematical relationships.
| Equation Type | Highest Power | Number of Solutions | Graph Shape | Common Methods |
|---|---|---|---|---|
| Linear | x¹ | 1 solution | Straight line | Isolation, substitution |
| Quadratic | x² | 0, 1, or 2 solutions | Parabola | Factoring, formula, completing square |
| Cubic | x³ | 1 to 3 solutions | S-curve | Special formulas, numerical methods |
| Polynomial | xⁿ | Up to n solutions | Complex curves | Factoring, numerical approximation |