Answer
{-3, 0, 3}
Work Step by Step
1. Rearrange expression to equal zero.
$y^{3}$ = 9y
$y^{3}$ - 9y = 0
2. Factor the expression.
y($y^{2}$ - 9)
y(y + 3)(y - 3)
3. Apply the zero factor property.
a) y = 0
b) y + 3 = 0
c) y - 3 = 0
4. Solve each linear equation.
a) y = 0
b) y = -3
c) y = 3
The solutions are {-3, 0, 3}.
