Question

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

Answer 1

ANSWER:

x = -16, 4

STEP-BY-STEP EXPLANATION:

We have the following equation:

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

We solve for x:

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

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