Math

Equation Calculator

Solve Any Equation Instantly

Type any math equation and get instant solutions. This equation calculator auto-detects the equation type and applies the fastest solving method. See your answer immediately, or expand the step-by-step panel to understand the process.

Quick Tips

Click to show tips

Try an Example

Pick a scenario to see how the calculator works, then adjust the values

Quadratic Equation

Solve a classic quadratic with two real roots.

Key values: x^2 - 5x + 6 = 0 · Two real roots

Linear Equation

Solve a simple linear equation for x.

Key values: 3x + 7 = 22 · Single root

Transcendental Equation

Find roots of sin(x) = x/3 using numerical methods.

Key values: sin(x) = x/3 · Numerical solution

Cubic with Complex Roots

Solve a cubic equation and show complex roots.

Key values: x^3 + x + 1 = 0 · Complex roots enabled

Documentation

This calculator is also known as Equation Calculator.

Read the complete guide

How This Calculator Works

You type an equation. The calculator parses it, identifies the type (linear, quadratic, etc.), selects the best solving method, and returns the answer -- all in milliseconds. Expand the step-by-step panel to see how it solved your equation.

Examples

Solving a Trigonometric Equation

Solve sin(x) = 0.5 in the range [-10, 10].

The solver detects this as transcendental and uses numerical methods to find all roots in [-10, 10], including x = 0.5236 and x = 2.6180.

Key takeaway: Transcendental equations may have infinitely many solutions; the calculator shows those in the visible range.

Getting the Best Results

Tips for using this equation calculator:

Use ^ for exponents: x^2 means x squared
Use standard function names: sin, cos, tan, exp, log, sqrt
If you omit "= 0", the calculator assumes your expression equals zero
Expand the domain range if you suspect roots outside [-10, 10]

Frequently Asked Questions about Equation Calculator

What types of equations can this solve?

Linear, quadratic, cubic, polynomial (any degree), and transcendental equations (sin, cos, tan, exp, log, sqrt).

How accurate are the results?

For polynomial equations of degree 3 or less, results are exact (using the quadratic formula or Cardano's method). For higher-degree and transcendental equations, results are numerical with precision to approximately 10 decimal places.