Answer
$m=\left\{ -6,0,6 \right\}$
Work Step by Step
The factored form of the given expression, $
m^5=36m^3
$, is
\begin{array}{l}
m^5-36m^3=0
\\\\
m^3(m^2-36)=0
\\\\
m^3(m+6)(m-6)=0
.\end{array}
Equating each factor to zero, then
\begin{array}{l}
m^3=0
\\
m=0
,\text{ OR}\\\\
m+6=0
\\
m=0-6
\\
m=-6
,\text{ OR}\\\\
m-6=0
\\
m=0+6
\\
m=6
\end{array}
Hence, $
m=\left\{ -6,0,6 \right\}
$.
