#### Answer

{-4, 0, 4}

#### Work Step by Step

1. Rearrange expression to equal zero.
$n^{3}$ = 16n
$n^{3}$ - 16n = 0
2. Factor the expression.
n($n^{2}$ - 16)
n(n + 4)(n - 4)
3. Apply the zero factor property.
a) n = 0
b) n + 4 = 0
c) n - 4 = 0
4. Solve each linear equation.
a) n = 0
b) n = -4
c) n = 4
The solutions are {-4, 0, 4}.