#### Answer

$x=\left\{ 0,-2 \right\}$

#### Work Step by Step

Equating each factor to zero (Zero Product Principle), then the solutions to the equation, $
x(x+2)=0
,$ is
\begin{array}{l}
x=0
,\\\\\text{OR}\\\\
x+2=0
\\\\
x=-2
.\end{array}
Hence, $
x=\left\{ 0,-2 \right\}
.$