Answer
$x=\left\{ 2, 6 \right\}$
Work Step by Step
Factoring the equation and then equating each factor to zero (Zero-Product Property), then the values of $x$ that satisfy the given equation, $
x^2-8x=-12
,$ are
\begin{array}{l}\require{cancel}
x^2-8x+12=0
\\\\
(x-6)(x-2)=0
\\\\
x-6=0
\\\\
x=6
,\\\\\text{OR}\\\\
x-2=0
\\\\
x=2
.\end{array}
Hence, $
x=\left\{ 2, 6 \right\}
.$
