Answer
$x=\left\{ -\dfrac{1}{2},6 \right\}$
Work Step by Step
Equating each factor to zero (Zero-Product Property), then the values of $x$ that satisfy the given equation, $
(x-6)(2x+1)=0
,$ are
\begin{array}{l}\require{cancel}
x-6=0
\\\\
x=6
,\\\\\text{OR}\\\\
2x+1=0
\\\\
2x=-1
\\\\
x=-\dfrac{1}{2}
.\end{array}
Hence, $
x=\left\{ -\dfrac{1}{2},6 \right\}
.$
