Algebra Calculator

Quick answer

Algebra Calculator

Solve algebraic equations and expressions with step-by-step solutions and visual representations.

Enter Equation or Expression

Solution

Example Problems:

Linear: 2x + 3 = 7
Quadratic: x² - 4x + 3 = 0
Variables on both sides: 3x - 5 = 2x + 1

ℹ️ What is Algebra Calculator?

An algebra calculator solves linear and polynomial equations, simplifies expressions, and evaluates variables. It automates the mechanical steps of algebra so you can focus on understanding the problem structure and verifying your manual work.

📐 Formula

Linear: ax + b = c → x = (c − b) / a
a— Coefficient of the variable
b— Constant term on the left side
c— Constant on the right side
x— The unknown variable to solve for

✏️ Worked Example

Equation: 3x + 7 = 22
  1. 1Subtract 7 from both sides: 3x = 22 − 7 = 15
  2. 2Divide both sides by 3: x = 15 / 3 = 5
  3. 3Verify: 3(5) + 7 = 15 + 7 = 22 ✓
✅ Result: x = 5

💡 How to Interpret Results

  • ▸One solution means the equation is consistent and has a unique answer.
  • ▸No solution (e.g., 0 = 5) means the equation is inconsistent — it can never be true.
  • ▸Infinite solutions (e.g., 0 = 0) means the equation is an identity — true for any value of x.
  • ▸Always substitute your answer back into the original equation to verify.
  • ▸For inequalities, flipping the inequality sign is required when multiplying or dividing by a negative number.

❓ Frequently Asked Questions

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