#### Answer

$x=\left\{ -\dfrac{8}{3},0 \right\}$

#### Work Step by Step

Equating each factor to zero (Zero Product Principle), then the solutions to the equation, $
6n(3n+8)=0
,$ is
\begin{array}{l}\require{cancel}
6n=0
\\\\
n=\dfrac{0}{6}
\\\\
n=0
,\\\\\text{OR}\\\\
3n+8=0
\\\\
3n=-8
\\\\
n=-\dfrac{8}{3}
.\end{array}
Hence, $
x=\left\{ -\dfrac{8}{3},0 \right\}
.$