Equation Solver
Solve linear, quadratic, and system of equations with step-by-step solutions
Linear Equation: ax + b = 0
Example: 2x - 6 = 0
Solution: x = 3
Equation Solving Methods
Linear Equations
One solution
Quadratic Formula
Discriminant: D = b² - 4ac
System of Equations
Root Finding
An equation is a statement that asserts the equality of two expressions.
What Is an Equation Solver?
An equation solver finds the value(s) of the unknown variable (usually x) that make an equation true. Instead of working through algebra by hand, you type the equation and get the step-by-step solution instantly — perfect for homework checks, exam prep, and quick problem-solving.
How to Use This Calculator
- Type your equation (for example: 2x + 6 = 14).
- The solver rearranges the equation step by step to isolate x.
- You get the final answer plus each intermediate step, so you can follow the logic.
Methods Used to Solve Equations
Linear equations
Example: 3x − 9 = 0. Isolate x by moving terms to the other side and dividing. From 3x = 9, we get x = 3.
Quadratic equations
Example: x² − 5x + 6 = 0. Solved by factoring or the quadratic formula:
Solve 2x + 6 = 14.
Step 1: subtract 6 from both sides → 2x = 8.
Step 2: divide by 2 → x = 4.
Check: 2(4) + 6 = 14 ✓
Solve x² − 5x + 6 = 0.
Factor: (x − 2)(x − 3) = 0, so x = 2 or x = 3.
Tips for Best Results
- Use standard notation: write multiplication clearly (2x).
- Always verify the answer by substituting it back into the original equation.
- For quadratics, remember there can be two solutions — don't stop at the first one.
Frequently Asked Questions
What types of equations can it solve?
Linear equations (one variable, first degree) and quadratic equations (second degree), with full step-by-step working.
Why does a quadratic sometimes have two answers?
A degree-2 equation can cross zero twice. Both values satisfy the equation, so both are valid solutions.
What if there is no solution?
Some equations are inconsistent (e.g. x + 2 = x + 5). The solver will tell you when no value of x works.
Can it show steps or only the answer?
It shows every step — use it to learn the method, not just to copy the answer.