Solving the Equation: (12 + 6 - 5 x 3) x (2 x 2 + 1 - 7 + 2)
This equation involves several operations, so we need to follow the order of operations (PEMDAS/BODMAS) to get 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 step-by-step:
Step 1: Solve the expressions inside the parentheses.
-
Left Parentheses: (12 + 6 - 5 x 3)
- First, perform the multiplication: 5 x 3 = 15
- Then, perform the addition and subtraction from left to right: 12 + 6 - 15 = 3
-
Right Parentheses: (2 x 2 + 1 - 7 + 2)
- First, perform the multiplication: 2 x 2 = 4
- Then, perform the addition and subtraction from left to right: 4 + 1 - 7 + 2 = 0
Step 2: Multiply the results of the parentheses.
- Now we have: 3 x 0
Step 3: Perform the multiplication.
- 3 x 0 = 0
Therefore, the solution to the equation (12 + 6 - 5 x 3) x (2 x 2 + 1 - 7 + 2) is 0.