Algebra Calculator

Solve equations step-by-step with detailed explanations

Use standard mathematical notation with x as the variable
Click to get step-by-step solution
Solution:

Quick Examples

Linear Equation
2x + 5 = 13

Solve for x by isolating the variable

Quadratic Equation
x² – 9 = 0

Find the roots of the quadratic equation

Equation with Brackets
3(x + 2) = 21

Expand and solve the equation

Factorable Quadratic
x² + 5x + 6 = 0

Solve by factorisation method

Algebra Calculator Features

Linear Equations

Solve equations of the form ax + b = c. Our calculator shows each step including combining like terms, isolating variables, and checking solutions.

Quadratic Equations

Handle equations like ax² + bx + c = 0 using factorisation, completing the square, or the quadratic formula. Get detailed step-by-step solutions.

Step-by-Step Solutions

Every solution includes detailed working steps, explanations of mathematical concepts, and verification of the answer.

Multiple Methods

For quadratic equations, see solutions using different methods including factorisation, quadratic formula, and graphical representation when applicable.

How to Use the Algebra Calculator

  1. Enter Your Equation: Type your algebraic equation in the input box. Use standard mathematical notation (e.g., 2x + 5 = 13).
  2. Use Helpful Buttons: Click the symbol buttons to insert common algebraic expressions like x², √, or parentheses.
  3. Click Solve: Press the “Solve Equation” button to get your step-by-step solution.
  4. Review Steps: Read through the detailed solution steps to understand the solving process.
  5. Try Examples: Click on any example card to see how different types of equations are solved.

Supported Equation Types

Linear Equations

  • 2x + 5 = 13
  • 3x – 7 = 2x + 1
  • 4(x + 2) = 20

Quadratic Equations

  • x² + 5x + 6 = 0
  • 2x² – 8 = 0
  • x² – 3x – 10 = 0

Factored Forms

  • (x + 3)(x – 2) = 0
  • x(x + 5) = 0
  • (2x – 1)(x + 4) = 0

Frequently Asked Questions

What types of algebraic equations can this calculator solve?
Our algebra calculator can solve linear equations (first-degree), quadratic equations (second-degree), and equations involving brackets, fractions, and basic algebraic expressions. It handles most equations taught in secondary school and first-year university mathematics.
How do I enter equations with exponents?
Use the ^ symbol for exponents. For example, enter x^2 for x squared, or x^3 for x cubed. You can also click the x² or x³ buttons for quick insertion of common exponents.
Why are step-by-step solutions important for learning algebra?
Step-by-step solutions help you understand the mathematical reasoning behind each operation. Instead of just getting an answer, you learn the process, which improves your problem-solving skills and helps you tackle similar equations independently.
Can I use this calculator for homework and exam preparation?
Absolutely! This calculator is perfect for checking your work, understanding solution methods, and preparing for exams. However, always ensure you understand the steps rather than just copying answers for homework assignments.
What should I do if my equation doesn’t solve correctly?
Double-check your equation format, ensure you’re using proper mathematical notation, and verify that all parentheses are balanced. If you’re still having issues, try breaking complex equations into simpler parts or use one of our examples as a template.
How accurate are the solutions provided?
Our calculator uses proven algebraic methods and algorithms to provide mathematically accurate solutions. All steps follow standard algebraic procedures taught in schools and universities worldwide.

Algebra Fundamentals

Variables and Constants

Variables (like x, y) represent unknown values, whilst constants are fixed numbers. In the equation 2x + 5 = 13, ‘x’ is the variable, and 2, 5, and 13 are constants.

Order of Operations

Always follow BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction) when solving equations. This ensures accurate solutions every time.

Balancing Equations

Whatever operation you perform on one side of an equation, you must perform on the other side to maintain balance. This fundamental principle keeps equations mathematically valid.

Checking Solutions

Always substitute your answer back into the original equation to verify it’s correct. This step catches calculation errors and confirms your solution is valid.

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