Solve for x.If there is more than one solution, separate them with commas.If there is no solution, click on "No solution". x=

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asked Mar 6, 2023 171k views

4 votes

Solve for x.If there is more than one solution, separate them with commas.If there is no solution, click on "No solution". x=

Solve for x.If there is more than one solution, separate them with commas.If there-example-1

Mathematics
college

Sam Ccp asked

by Sam Ccp

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1 Answer

3 votes

ANSWER:

x = -16, 4

Explanation:

We have the following equation:

$-8\left|x+6\right|=-80$

We solve for x:

$\begin{gathered} (-8\left|x+6\right|)/(-8)=(-80)/(-8) \\ \\ \left|x+6\right|=10 \\ \\ x+6=-10\text{ or }x+6=10 \\ \\ x+6=-10\rightarrow x=-10-6\rightarrow x=-16 \\ \\ x+6=10\operatorname{\rightarrow}x=10-6\operatorname{\rightarrow}x=4 \\ \\ x=-16,4 \end{gathered}$

The solution of the system is x = -16, 4

Michael Merchant answered Mar 11, 2023