Solving the Equation: (12+6-5x3)x(2x2+1-7+2)
This article will break down the steps to solve the mathematical expression: (12+6-5x3)x(2x2+1-7+2). We will use the order of operations (PEMDAS/BODMAS) to ensure we arrive at the correct answer.
PEMDAS/BODMAS stands for:
- Parentheses ( Brackets)
- Exponents ( Orders)
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Let's break down the equation:
Solving the first set of parentheses: (12+6-5x3)
- Multiplication: 5 x 3 = 15
- Addition and Subtraction (from left to right): 12 + 6 - 15 = 3
Solving the second set of parentheses: (2x2+1-7+2)
- Multiplication: 2 x 2 = 4
- Addition and Subtraction (from left to right): 4 + 1 - 7 + 2 = 0
Final Multiplication
Now we have simplified the equation to: 3 x 0
Therefore, the answer to (12+6-5x3)x(2x2+1-7+2) is 0.