Equation Solver

Solve linear, quadratic, and polynomial equations

How to use this tool

Type an equation that equals zero, like x² - 5x + 6 = 0. Use ^ for powers (x^2 = x squared).

Click an example below to try a sample. The tool finds every value of x that makes the equation true (the roots).

Don't know how to type it? Switch to Coefficients mode and just enter the numbers in front of each term.

x = variable, ^ = power— 2x^2 + 3x - 5 = 0

Examples

What is Equation Solver?

The Equation Solver finds exact solutions for linear, quadratic, cubic, and higher-degree polynomial equations. Enter your equation in standard notation and get step-by-step solutions with real and complex roots.

How to use

  1. Type your equation (e.g., 2x² + 3x - 5 = 0) or select an equation type and enter the coefficients directly.
  2. Click Solve to see all roots displayed with step-by-step working, including discriminant analysis for quadratics.
  3. View the graph of the function with roots plotted, and copy the solution or export it as text.

Result

A physics student enters 4.9t² - 20t + 15 = 0 to find when a projectile hits the ground, getting t = 0.97s and t = 3.12s with full quadratic formula steps shown.

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