Answer
$x=\left\{ -6,\dfrac{3}{2} \right\}$
Work Step by Step
Equating each factor to zero (Zero Product Principle), then the solutions to the given equation, $
(2t-3)(t+6)=0
,$ is
\begin{array}{l}
2t-3=0
\\\\
2t=3
\\\\
t=\dfrac{3}{2}
,\\\\\text{OR}\\\\
t+6=0
\\\\
t=-6
.\end{array}
Hence, $
x=\left\{ -6,\dfrac{3}{2} \right\}
.$