Equation Solver
Solve linear and quadratic equations step by step
Supports linear (ax + b = c) and quadratic (ax² + bx + c = 0) equations
Quick Examples
About Equation Solver
The free online Equation Solver handles both linear equations (e.g., 2x + 3 = 7) and quadratic equations (e.g., x^2 - 5x + 6 = 0), displaying the complete solution with every algebraic step shown in detail. It uses standard math notation so you can type equations naturally, making it ideal for checking homework, learning algebra methods, or quickly solving equations during science and engineering work. No signup required, runs in your browser.
How to Use
Type your equation into the input field using standard notation — use x as the variable, ^ for exponents (e.g., x^2), and = to separate both sides. For example: 3x - 4 = 11 for a linear equation or x^2 - 7x + 12 = 0 for a quadratic. Click Solve to see the solution(s) and a step-by-step breakdown of the entire solving process. Copy the result if needed.
Common Use Cases
- Middle and high school students solving algebra homework can enter their assigned equations and use the step-by-step solution to check their manual working or understand exactly where they made an error.
- University students studying the quadratic formula can enter equations and trace through examples, observing how the discriminant determines whether solutions are real, repeated, or non-existent.
- Physics and engineering students encountering linear equations in mechanics, circuits, or thermodynamics can quickly isolate the unknown variable without interrupting their workflow for manual algebra.
- Tutors and math teachers can generate worked solutions on demand during lessons, projecting the step-by-step breakdown to illustrate variable isolation for students who are struggling with the concept.
- Developers building educational quiz apps can use the solver to verify that their equation-generation logic produces problems with the correct expected answers before shipping the feature.