Equation Solver
Solve a linear or quadratic equation from its coefficients.
- Free to use
- Accurate results
- No registration required
- Works on all devices
Enter the coefficients of a linear or quadratic equation to solve for x.
Enter 2 coefficients for a linear equation (ax + b = 0) or 3 for a quadratic (ax² + bx + c = 0), separated by commas.
Your result
x = 2 or x = 1
Solution
Degree2
AI explanation
Formula
Linear: x = −b ÷ a. Quadratic: x = (−b ± √(b² − 4ac)) ÷ 2aWorked example
x² − 3x + 2 = 0 (coefficients 1, -3, 2)
| Field | Value |
|---|---|
| Coefficients (highest degree first) | 1, -3, 2 |
| Degree | 2 |
| Solution | x = 2 or x = 1 |
Assumptions
- Supports linear (2 coefficients) and quadratic (3 coefficients) equations only — there's no simple closed-form solution for a general cubic-or-higher equation. Use the Polynomial Calculator to evaluate a higher-degree polynomial at specific x values instead.
Frequently asked questions
How do I enter a linear equation?
Enter exactly 2 coefficients — for 3x - 9 = 0, enter "3, -9".
How do I enter a quadratic equation?
Enter exactly 3 coefficients, highest degree first — for x² - 3x + 2 = 0, enter "1, -3, 2".
Can this solve cubic or higher-degree equations?
No — there's no simple formula for a general cubic or higher-degree equation's roots. This solver supports linear and quadratic equations only.