Math Equation Solver | Order of Operations

Solve math equations step by step using PEMDAS, BEDMAS, BODMAS order of operations. Get solutions with detailed explanations.

Solve math equations step by step. Enter any equation and get the solution with detailed explanations.

Enter Equation

Supported Equations:

  • Linear equations: 2x + 5 = 15, 3x - 7 = 2x + 4
  • Quadratic equations: x^2 - 5x + 6 = 0, x^2 = 16
help_outlineHow to Useexpand_more
  1. Type your math expression in the input field
  2. Use these symbols: +, -, *, /, ^, (), [],
  3. Press "Solve" or hit Enter to calculate
  4. See the result with detailed step-by-step breakdown

Supported Operators:

+ Add numbers
- Subtract numbers
* Multiply numbers
/ Divide numbers
^ Powers (3^4 = 81)
() [] Group operations

Working with Fractions:

Always wrap fractions in parentheses. Example: 6/(1/3) = 18. Writing 6/1/3 without parentheses gives 2 (incorrect).

infoWhat is Math Equation Solver | Order of Operations?expand_more

A powerful calculator that evaluates mathematical expressions following the standard order of operations. Works with PEMDAS, BEDMAS, BODMAS, GEMDAS, and MDAS rules. Handles positive and negative numbers, exponents, roots, and grouped expressions.

Understanding Order of Operations

Remember "Please Excuse My Dear Aunt Sally" (PEMDAS) for the correct calculation order:

  1. Parentheses and brackets — evaluate innermost groups first
  2. Exponents and roots — calculate all powers next
  3. Multiply and Divide — work from left to right
  4. Add and Subtract — work from left to right

Important Note!

Multiplication and Division share equal priority — solve them left to right, not M before D. The same applies to Addition and Subtraction. Remember it as PE(MD)(AS).

functionsFormulaexpand_more

Different Names, Same Rules:

PEMDAS: Parentheses, Exponents, Multiply/Divide, Add/Subtract
BEDMAS: Brackets, Exponents, Divide/Multiply, Add/Subtract
BODMAS: Brackets, Orders, Divide/Multiply, Add/Subtract
GEMDAS: Grouping, Exponents, Divide/Multiply, Add/Subtract

Working with Negative Numbers:

Multiply & Divide

Same signs → positive

Different signs → negative

Add & Subtract

Same signs → add values, keep sign

Different → find difference

lightbulbExamplesexpand_more

Multiplication First

2 + 6 × 3 = 20

6×3=18, then 2+18=20

Parentheses Override

(2 + 6) × 3 = 24

2+6=8, then 8×3=24

Same Priority, Left to Right

12 / 3 × 2 = 8

12÷3=4, then 4×2=8

Exponents

3^2 + 5 = 14

3²=9, then 9+5=14

Negative × Negative

(-4) × (-5) = 20

Two negatives make positive

Mixed Operations

10 - 4 + 3 = 9

10-4=6, then 6+3=9

quizFAQexpand_more
Why do I get unexpected results with PEMDAS?expand_more
The most common error is assuming Multiplication always happens before Division. In reality, they have equal priority and are evaluated left to right. Same with Addition and Subtraction. For example: 16/4×2 = 8, not 2. Think PE(MD)(AS).
How do I write powers and exponents?expand_more
Use the ^ symbol. For instance, 4^3 means 4 cubed (4×4×4 = 64). For fractional exponents like square roots, you can write 9^(1/2) = 3.
What's the correct way to enter fractions?expand_more
Wrap the fraction in parentheses. To calculate '8 divided by 1/4', write 8/(1/4) = 32. Without parentheses, 8/1/4 would compute as (8/1)/4 = 2.
Are PEMDAS and BODMAS the same thing?expand_more
Yes! Different countries use different acronyms, but they all describe identical rules. PEMDAS (USA), BEDMAS (Canada), BODMAS (UK/India), and GEMDAS all mean the same mathematical order.
How do signs work when multiplying or dividing?expand_more
Two identical signs (both positive or both negative) give a positive result. Two different signs give a negative result. Examples: (-6)×(-2)=12, (-6)×2=-12, 6×(-2)=-12.
What does left-to-right evaluation mean?expand_more
When operators have equal priority (like × and ÷), evaluate them in order from left to right. For 24/6×2: first 24÷6=4, then 4×2=8. Don't multiply first!