Equation Solver – Solve Linear & Quadratic Equations Step by Step

Solve linear, quadratic, and systems of equations instantly with clear step-by-step working so you can learn the method, not just the answer.

Enter coefficients for: ax + b = 0

Examples

Linear: 2x + 6 = 0 → x = -3
Quadratic: x² - 5x + 6 = 0 → x = 2, 3
Expression: sqrt(16) → 4
Expression: sin(pi/2) → 1

What is this tool?

An Equation Solver is a free mathematical tool that finds the roots and solutions of linear equations (ax + b = 0), quadratic equations (ax² + bx + c = 0), and systems of two linear equations. It presents every step of the solving process – isolating variables, applying the quadratic formula, or using substitution – so students can follow the method and understand why each step works. Ideal for high-school and university students doing algebra homework, checking exam preparation, or learning problem-solving techniques.

How to use this tool?

1. Type your equation into the input field using standard notation (e.g., 2x + 5 = 13 or x^2 - 4x + 3 = 0). 2. Select the equation type from the dropdown: linear, quadratic, or system of equations. 3. Click "Solve" – the tool processes your equation instantly. 4. Read the step-by-step solution panel to follow every algebraic manipulation from the original equation to the final answer. 5. Check all roots or solution values displayed, including complex roots where applicable. 6. Use the solution to verify your own homework working or identify where your method diverged.

Frequently Asked Questions

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