Equation Solver Calculator
Solve linear equations, quadratic equations, and systems of equations instantly.
Saved Equations
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Equation Solver – Linear, Quadratic & System Solver Online
This Equation Solver lets you solve any type of equation instantly - from simple linear equations to complex quadratic and system equations. Just enter your equation, click solve, and get step-by-step, accurate results within seconds.
It is designed for students, teachers, engineers, researchers, and anyone who needs fast equation solutions without doing manual calculations.
What Is an Equation Solver?
An equation solver is a tool that calculates the value(s) of unknown variables by applying mathematical formulas and logic. It replaces manual calculations and ensures accuracy even for complex or multi-step equations.
This tool supports multiple equation types:
Linear equations (ax + b = c)
Quadratic equations (ax² + bx + c = 0)
Simultaneous equations (two equations with two variables)
Types of Equations You Can Solve
1. Linear Equation Solver (ax + b = c)
A linear equation has only one variable raised to the power of 1.
Example:2x + 5 = 15
Solution: x = 5
This tool handles:
Positive and negative numbers
Fractions
Equations with variables on both sides
2. Quadratic Equation Solver (ax² + bx + c = 0)
Quadratic equations have variables raised to the power 2.
This calculator solves:
Real roots
Equal roots
Complex roots (if discriminant < 0)
Example:x² + 5x + 6 = 0
Solutions: x = –2, x = –3
3. System of Equations Solver (Simultaneous Equations)
Enter two equations separated by a semicolon:
Example:2x + 3y = 5; 4x - y = 7
The tool calculates:
Unique solutions
Infinite solution cases
No solution (parallel lines)
Features of This Equation Solver
Supports linear, quadratic, and system equations
Automatic equation type detection
Handles decimals, fractions, and negatives
Solves complex roots when required
Fast and accurate output
Copy result, save result, share result
Built-in history system for previous equations
Fully mobile friendly
How to Use the Equation Solver
Enter your equation in the input box
e.g.,
2x + 5 = 15e.g.,
x^2 + 4x + 4 = 0e.g.,
2x + y = 10; x - y = 2
Click Solve
View the result instantly
Copy, save, or share the output
Reuse past calculations through history
Examples of Supported Inputs
3x - 9 = 15x^2 - 9 = 05x + 2 = 4x + 84x + y = 12; x - y = 30.5x + 1.2 = 3.7
Frequently Asked Questions (FAQ)
Does this equation solver support quadratic equations?
Yes, it solves quadratic equations including complex roots.
Can I solve two equations at once?
Yes. Enter them separated by a semicolon. ;
Does it support decimals and fractions?
Absolutely. It works with all numeric formats.
Do I need to install anything?
No. It works directly in any browser.
Is this equation solver accurate?
Yes. It uses reliable mathematical formulas for every calculation type.
Conclusion
This Equation Solver is a powerful, fast, and accurate tool for solving linear, quadratic, and system equations. Whether you're doing homework, engineering calculations, or preparing for competitive exams, this tool saves time and eliminates errors.
Instant solutions. Clean interface. Professional-grade accuracy.