Answer
The solutions are $m=-1$ and $m=0$
Work Step by Step
$5m^{2}+5m=0$
Take out common factor $5m$ from the left side:
$5m(m+1)=0$
Set both factors equal to $0$ and solve each individual equation for $m$:
$5m=0$
$m=\dfrac{0}{5}$
$m=0$
$m+1=0$
$m=-1$
The solutions are $m=-1$ and $m=0$
