Equation Solver — Linear and Quadratic Equations
An equation solver finds the value (or values) of a variable that make both sides equal.
Enter an equation with one unknown. The solver classifies the degree and applies the matching algebraic method.
Solve a problem
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Example problems
How this solver works
- The equation is rewritten so every term is on one side.
- Degree 1 uses inverse operations. Degree 2 uses the quadratic formula.
- Roots are substituted back to verify.
Formula
Standard form for quadratic equations.
Worked examples
2x + 5 = 17
- 2x = 12
- x = 6
Answer: x = 6
Common mistakes
Forgetting both roots
A quadratic usually has two solutions. Report both unless a context rejects one.
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Frequently asked questions
Can I solve for y instead of x?
Yes. Use whatever letter appears in the equation.
What if there is no solution?
If simplifying produces a false statement such as 0 = 5, the equation has no solution.