Equation Solver
Solve linear and quadratic equations with steps.
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Showing first 12 of months.
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Introduction
Equation Solver — Solve linear and quadratic equations with steps. Enter Equation type, a, b, c to get an instant, accurate result.
Formula
Linear: ax + b = 0 → x = −b/a. Quadratic: ax² + bx + c = 0 → x = (−b ± √(b²−4ac)) / 2a.
Step-by-step
- Enter the Equation type.
- Enter the a.
- Enter the b.
- Enter the c.
- Click Calculate to see your result instantly.
Real-world example
Example: With Equation type = linear, a = 1, b = -3, c = 2, the Equation Solver gives Type: linear, X: 3.
Frequently Asked Questions
What happens if the quadratic discriminant is negative?
The equation has no real roots, and the calculator reports the complex (imaginary) solution instead.
What if a = 0 in the quadratic form?
That's not a true quadratic — switch to the linear solver instead.
What inputs does the Equation Solver need?
You'll need to provide: Equation type, a, b, c. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Equation Solver?
The Equation Solver applies the formula exactly as calculated — Linear: ax + b = 0 → x = −b/a. Quadratic: ax² + bx + c = 0 → x = (−b ± √(b²−4ac)) / 2a. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Equation Solver free to use?
Yes, the Equation Solver is completely free, requires no signup, and runs instantly in your browser.
About the Equation Solver
The Equation Solver uses a real, verifiable formula — Linear: ax + b = 0 → x = −b/a. Quadratic: ax² + bx + c = 0 → x = (−b ± √(b²−4ac)) / 2a. — so results are accurate every time, not an approximation.