Answer
{-3, 0, 4}
Work Step by Step
1. Rearrange expression to equal zero.
$m^{3}$ = $m^{2}$ + 12m
$m^{3}$ - $m^{2}$ - 12m = 0
2. Factor the expression.
m($m^{2}$ - m - 12)
m(m + 3)(m - 4)
3. Apply the zero factor property.
a) m = 0
b) m + 3 = 0
c) m - 4 = 0
4. Solve each linear equation.
a) m = 0
b) m = -3
c) m = 4
The solutions are {-3, 0, 4}.
