Answer
$\color{blue}{\bf x=\left\{0, 2, 4\right\}}$
Work Step by Step
Factor the polynomial completely to obtain:
$x(x^2-6x+8) = 0
\\x(x-4)(x-2)=0$
Equate each factor to zero, then solve each equation to obtain:
\begin{array}{ccccc}
&x=0 &\text{or} &x-4=0 &\text{or} &x-2=0
\\&x=0 &\text{or} &x=4 &\text{or} &x=2
\end{array}
Thus, the solutions to the given equation are:
$\color{blue}{\bf x=\left\{0, 2, 4\right\}}$
