Evaluate: 4x^3-8x^2=0

Expression: $4{x}^{3}-8{x}^{2}=0$

Factor out $4{x}^{2}$ from the expression

$4{x}^{2} \times \left( x-2 \right)=0$

Divide both sides of the equation by $4$

${x}^{2} \times \left( x-2 \right)=0$

When the product of factors equals $0$, at least one factor is $0$

$\begin{array} { l }{x}^{2}=0,\\x-2=0\end{array}$

Solve the equation for $x$

$\begin{array} { l }x=0,\\x-2=0\end{array}$

Solve the equation for $x$

$\begin{array} { l }x=0,\\x=2\end{array}$

The equation has $2$ solutions

$\begin{array} { l }x_1=0,& x_2=2\end{array}$