#### Answer

$x=\{-9,-2\}$

#### Work Step by Step

Equating each factor to zero (Zero Product Principle), then the solutions to the given equation, $
(x+2)(x+9)=0
,$ is
\begin{array}{l}
x+2=0
\\\\
x=-2
,\\\\\text{OR}\\\\
x+9=0
\\\\
x=-9
.\end{array}
Hence, $
x=\{-9,-2\}
.$