Math Equation Solver

What is the Math Equation Solver?

The Math Equation Solver is a powerful online tool that solves mathematical expressions following the standard order of operations (PEMDAS/BEDMAS/BODMAS). It evaluates expressions containing addition, subtraction, multiplication, division, exponents, roots, and parentheses, showing each step of the calculation process. This tool is ideal for students learning algebra, professionals verifying calculations, and anyone who needs to solve complex math expressions accurately. Solve exponential equations with our Solve for Exponents Calculator or explore advanced functions with the Scientific Calculator.

For example, the expression (10+5^2)*((5*(-2))+9-3^3)/2 is solved step by step: first evaluating the exponent 5^2 = 25, then working through parentheses, multiplication, division, and subtraction to arrive at the final answer of -490. Each step is clearly displayed so you can follow the logic and verify the result.

How to Use the Math Equation Solver

Using the Math Equation Solver is simple:

• Enter your expression: Type or paste your math equation into the input field. Use standard mathematical operators: + for addition, - for subtraction, * for multiplication, / for division, ^ for exponents, and r for roots.
• Use parentheses for grouping: Use (), [], or {} to group parts of your expression. The solver respects nested parentheses, working from innermost to outermost.
• View step-by-step results: The tool automatically evaluates your expression and displays a detailed step-by-step breakdown, showing which operation is performed at each stage.

Order of Operations (PEMDAS/BEDMAS)

The Math Equation Solver follows the standard order of operations, often remembered by the acronyms PEMDAS, BEDMAS, BODMAS, or GEMDAS:

• Parentheses / Brackets / Grouping: Solve expressions inside parentheses or brackets first, starting from the innermost.
• Exponents / Order: Calculate exponents and roots next, working from right to left for stacked exponents.
• Multiplication and Division: Perform multiplication and division from left to right, as they appear in the expression.
• Addition and Subtraction: Perform addition and subtraction from left to right, as they appear in the expression.

It is important to note that multiplication and division have the same precedence and are evaluated left to right. Similarly, addition and subtraction have the same precedence and are evaluated left to right. The acronym is better understood as PE(MD)(AS) or BE(DM)(AS).

Supported Operators and Functions

The Math Equation Solver supports the following mathematical operations:

• Addition (+): Adds two or more numbers together. Example: 5 + 3 = 8
• Subtraction (-): Subtracts one number from another. Example: 10 - 4 = 6
• Multiplication (*): Multiplies numbers together. Example: 6 * 7 = 42
• Division (/): Divides one number by another. Example: 15 / 3 = 5
• Exponents (^): Raises a number to a power. Example: 2^5 = 32
• Roots (r): Calculates the nth root of a number. Example: 2r9 = 3 (square root of 9), 3r8 = 2 (cube root of 8)
• Parentheses: Groups expressions to control evaluation order. Example: (2+3)*4 = 20