Equation Solver: Solve Multiple Equation Types
Solve linear, quadratic, cubic, exponential, and systems of linear equations instantly. Perfect for students and educators in India and worldwide.
Your Equation Solutions
Solution(s)
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Solution Steps
Steps will appear here after calculation.
Equation Solving Tips
Ensure all coefficients are entered correctly.
Verify solutions with your problem set.
Use steps to understand the solving process.
More Tools to Explore:
Your Guide to Solving Equations
What’s an Equation Solver?
This tool solves linear, quadratic, cubic, exponential, and systems of linear equations, providing solutions and step-by-step explanations. Perfect for students and educators in India and globally.
How Equations Are Solved
Methods used:
Linear (ax + b = c):
x = (c - b) / a
Quadratic (ax² + bx + c = 0):
x = [-b ± √(b² - 4ac)] / (2a)
Cubic (ax³ + bx² + cx + d = 0):
Approximated using numerical methods (e.g., Newton-Raphson).
Exponential (a * b^x = c):
x = log(c / a) / log(b)
System (a₁x + b₁y = c₁, a₂x + b₂y = c₂):
Solved using elimination or substitution.
Our solver ensures accurate solutions with clear steps!
Understanding Your Results
Your results include:
| Component | Description |
|---|---|
| Solution(s) | Value(s) of x (and y for systems) (e.g., x = 2, x = 1, -3, or x = 1, y = 2). |
| Solution Steps | Step-by-step explanation of the solution process. |
Why Use an Equation Solver?
Solve equations effectively:
Educational Tool
Solve math problems quickly.
Verify Solutions
Check homework or exam answers.
Learn Steps
Understand the solving process.
Key Considerations for Equation Solving
Ensure accurate results:
Calculations use standard methods. Cubic solutions use numerical approximation for one real root.
Quadratics and cubics may have real or complex roots; exponentials require positive bases.
Invalid for a = 0 in linear/quadratic/cubic or non-unique solutions in systems.
Frequently Asked Questions About Equation Solving
Questions about solving various equations? Here are answers to guide your learning:
It solves linear (2x + 3 = 7), quadratic (x² - 5x + 6 = 0), cubic (x³ - x = 0), exponential (2 * 3^x = 18), and systems of linear equations, with steps.
Linear: x = (c - b) / a. Quadratic: x = [-b ± √(b² - 4ac)] / (2a). Cubic: Numerical approximation. Exponential: x = log(c / a) / log(b). System: Elimination/substitution.
Yes, quadratics with negative discriminant and cubics may yield complex roots.
Yes! Ideal for CBSE, ICSE, JEE, and NEET preparation.
Yes! All calculations are done locally in your browser, with no data stored.