Equation Solver
Solve linear, quadratic, and cubic equations with step-by-step solutions. Supports systems of equations and displays complex roots. All calculations happen locally — nothing leaves your browser.
How to Use the Equation Solver
- Choose equation type — select Linear, Quadratic, Cubic, or System of equations.
- Enter coefficients — type the values for a, b, c (and d for cubic).
- Click Solve — see the complete step-by-step solution with roots.
- View the graph — for quadratics, see a visual plot of the equation.
- Check history — review all equations you've solved in this session.
Why Use an Online Equation Solver?
Whether you're a student learning algebra or a professional verifying calculations, this tool shows every step so you can understand the process, not just the answer.
Complex roots are displayed with full imaginary notation, and the graph visualization helps you see where solutions intersect the x-axis.
Frequently Asked Questions
Yes! When a quadratic or cubic equation has no real roots, the solver displays complex roots in a+bi form with full steps showing the discriminant analysis.
The solver shows each algebraic manipulation: substitution, factoring, applying the quadratic formula, etc. Each step is clearly labeled so you can follow the logic.
Yes! The tool supports 2x2 and 3x3 systems of linear equations. Enter the coefficients and constants, and it will solve using elimination or substitution methods.
The canvas graph plots the function accurately with proper scaling. For quadratics, it shows the parabola and marks the roots where it crosses the x-axis.
Use Cases
Linear Equation Solving
Solve linear equations for homework assignments to check your work and understand the step-by-step solution process.
Quadratic Formula Calculator
Use the quadratic formula calculator to find roots of quadratic equations with detailed discriminant analysis.
Engineering Systems
Solve systems of equations for engineering problems involving multiple variables and constraints in circuit analysis or structural calculations.
Polynomial Root Finding
Find roots of polynomial equations to analyze mathematical functions and understand their behavior and intersections.
Equation Verification
Verify algebraic equation solutions to confirm your manual calculations are correct and identify any mistakes in your work.