The Equation Solver is a free online tool that helps you solve mathematical equations in seconds. Whether you’re working with simple linear equations like 2x + 5 = 15 or quadratic equations like x² − 5x + 6 = 0, this tool instantly calculates the value of the variable and shows step-by-step interpretation.
🧮 Equation Solver (Linear + Quadratic)
📊 Result
Enter an equation and click Solve.
📗 How to Use the Equation Solver (Linear + Quadratic)
- Select Linear or Quadratic equation type.
- For Linear: enter equation like 2x + 5 = 15.
- For Quadratic: enter values of a, b, c.
- Click Solve to get the solution instantly.
- Click Reset to clear all inputs.
💡 Works with negative numbers and decimals.
An Equation Solver helps solve math equations instantly using algebraic formulas. It supports solving:
- 📌 Linear equations (ax + b = c)
- 📌 Quadratic equations (ax² + bx + c = 0)
- 📌 Real & complex roots
- 📌 Positive & negative values
- 📌 Decimal coefficients
This tool reduces manual math and provides accurate results quickly.
📌 Linear Equation (ax + b = c)
- Extracts coefficients a & b
- Moves constants to one side
- Solves using formula: x = (c – b) / a
📌 Quadratic Equation (ax² + bx + c = 0)
- Finds the discriminant D = b² – 4ac
- If D > 0 → Two real solutions
- If D = 0 → One real solution
- If D < 0 → Complex roots
- Uses quadratic formula:
x = (-b ± √D) / 2a
💡 The tool automatically determines the root type (real or complex).
| Output | Meaning | How to Use |
|---|---|---|
| x = value | Solution to linear/quadratic equation. | Use result for math problems. |
| Two Solutions | Equation has two valid roots. | Used in physics & math problems. |
| Complex Solutions | Roots contain imaginary values. | Used in engineering & electronics. |
💬 This breakdown helps you understand the nature of the equation.
- ❌ Missing “=” in linear equation → Add =
- ❌ a = 0 in quadratic → Quadratic becomes linear
- ❌ Non-numeric input → Use valid numbers
- ❌ Blank fields → Fill all boxes
💡 Error messages help you correct mistakes instantly.
- Is this solver accurate?
Yes — uses standard algebraic formulas. - Can it solve decimals?
Yes, fully supported. - Does it handle negative numbers?
Absolutely. - Will it work on mobile?
Yes — fully responsive. - Is my data stored?
No — everything stays in your browser.
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Equation Solver – Online Tool to Solve Linear & Quadratic Equations Instantly
The Equation Solver is a free online tool that helps you solve mathematical equations in seconds. Whether you’re working with simple linear equations like 2x + 5 = 15 or quadratic equations like x² − 5x + 6 = 0, this tool instantly calculates the value of the variable and shows step-by-step interpretation.
It’s perfect for students, teachers, competitive exam aspirants, and anyone who wants quick and accurate solutions without doing long calculations manually.
What Is an Equation Solver?
An Equation Solver is a smart calculator that finds the unknown value (usually x) in a mathematical equation. You enter the equation, and the solver uses algebraic rules to find the correct solution. It can handle:
- Linear equations in one variable (ax + b = 0)
- Simple linear equations with constants on both sides
- Quadratic equations (ax² + bx + c = 0)
- Equations with fractions or negative numbers
Instead of manually rearranging and solving the equation, this tool does everything automatically and shows you the result.
Key Features of Our Equation Solver
- Solves linear equations in one variable
- Solves quadratic equations with real and complex roots
- Accepts positive, negative, and decimal values
- Shows multiple solutions where applicable
- Instant result display with clear formatting
- Beginner-friendly and suitable for school & college students
Types of Equations You Can Solve
1. Linear Equations (First Degree)
A linear equation is an equation in which the highest power of the variable is 1. Example: 2x + 7 = 19 The equation solver rearranges the terms and finds the value of x.
2. Quadratic Equations (Second Degree)
A quadratic equation has the form ax² + bx + c = 0. Example: x² − 3x − 4 = 0 The solver uses the quadratic formula:
x = (-b ± √(b² − 4ac)) / (2a)
3. Equations with Fractions
Equations like (x/2) + 3 = 7 or (3x − 1)/4 = 5 can also be simplified and solved by the tool. It automatically handles denominators and converts them into solvable form.
How to Use the Equation Solver
- Type your equation in the input box (e.g., 2x + 5 = 15).
- Select the equation type if the tool gives options (linear / quadratic).
- Click on the “Solve” button.
- View the solution for x – sometimes there may be 2 solutions (for quadratic equations).
- Use “Reset” to clear the current equation and try a new one.
Common Equation Types and Examples
| Type | Example Equation | Solution |
|---|---|---|
| Linear (Simple) | 2x + 5 = 15 | x = 5 |
| Linear (With Fractions) | x/3 + 4 = 9 | x = 15 |
| Quadratic (Factorable) | x² − 5x + 6 = 0 | x = 2, x = 3 |
| Quadratic (General) | 2x² + 3x − 2 = 0 | x = 0.5, x = −2 |
| Negative Coefficients | -3x + 9 = 0 | x = 3 |
Why Use an Online Equation Solver?
There are many benefits of solving equations online instead of manually:
- ⏱ Saves time during homework and exam preparation
- ✔ Avoids common algebra mistakes
- 📚 Helps you verify your manual solutions
- 📈 Great for practicing algebra concepts
- 📱 Can be used anytime on mobile, tablet, or desktop
Who Can Use This Equation Solver?
This tool is useful for:
- School students learning algebra
- College students dealing with higher math
- Teachers checking test questions and answers
- Coaching centers and tutors
- Competitive exam aspirants (JEE, SSC, banking, etc.)
Tips for Getting Accurate Results
- Enter the equation clearly with = sign (e.g., 3x + 2 = 11).
- Use x as the main unknown variable for best results.
- Write exponents correctly: x^2 for x², x^3 for x³ if your tool supports it.
- Double-check numbers before clicking “Solve”.
- For quadratic equations, ensure all terms are on one side (like ax² + bx + c = 0).
Frequently Asked Questions (FAQ)
1. Can this Equation Solver handle quadratic equations?
Yes. It can solve quadratic equations of the form ax² + bx + c = 0 and gives one or two solutions depending on the discriminant.
2. Do I need to know formulas to use it?
No. The tool automatically applies the right formulas in the background. However, understanding the formulas helps you learn better.
3. Is this tool free to use?
Yes, the Equation Solver is completely free and does not require login or subscription.
4. Can I use it for my homework?
Absolutely. It’s ideal for homework, assignments, and practice. Use it to learn, not just copy answers.
5. Does it work on mobile?
Yes. The solver is mobile-responsive and works smoothly on smartphones and tablets.
Benefits of Using Our Online Equation Solver
- Fast and accurate algebra solutions
- Clean and simple interface
- No apps or plugins required
- Helps in learning algebra step-by-step
- Perfect for both beginners and advanced learners
Final Thoughts
The Equation Solver is a smart and convenient way to solve algebraic equations online. Whether you’re dealing with simple linear equations or more complex quadratic expressions, this tool saves time, reduces errors, and helps you understand the logic behind each solution.
Use it regularly to build confidence in algebra, prepare for exams, and speed up your daily math work.
Useful Links:
Simple Calculator |
Scientific Calculator |
Fraction Calculator |
Standard Deviation Calculator |
Algebra Calculator