Solve Complex Order of Operations: -9-(15-3-[17-14]+4)+12÷3×7

Solve the following equation:

9(153[1714]+4)+12 ⁣:3×7= -9-(15-3-\lbrack17-14\rbrack+4)+12\colon3\times7=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:14 Let's solve this problem together.
00:19 First, tackle everything inside the parentheses. If you see nested ones, start with the innermost.
00:42 Next, handle each operation step by step.
01:07 Remember, multiplication and division come before addition and subtraction.
01:26 Keep solving from left to right, following the order of operations.
01:32 And there's your solution! Well done!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following equation:

9(153[1714]+4)+12 ⁣:3×7= -9-(15-3-\lbrack17-14\rbrack+4)+12\colon3\times7=

2

Step-by-step solution

According to the order of arithmetic operations, we begin by solving the innermost parenthesis and the division exercise first:

9(1533+4)+4×7= -9-(15-3-3+4)+4\times7=

We then solve the parenthesis exercise from left to right:

1533+4=123+4=9+4=13 15-3-3+4=12-3+4=9+4=13

We obtain the following exercise:

913+(4×7)= -9-13+(4\times7)=

We then solve the multiplication exercise and obtain:

913+28= -9-13+28=

Lastly we solve the exercise from left to right:

913=22 -9-13=-22

22+28=6 -22+28=6

3

Final Answer

6

Practice Quiz

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\( 20\div(4+1)-3= \)

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