Answer
$x=\{ -2,6 \}$
Work Step by Step
Equating each factor to zero (or the Zero-Product Principle), then the solutions to the given equation, $
(x+2)(x-6)=0
,$ is
\begin{array}{l}\require{cancel}
x+2=0
\\\\
x=-2
,\\\\\text{OR}\\\\
x-6=0
\\\\
x=6
.\end{array}
Hence, $
x=\{ -2,6 \}
.$