Answer
$x=\left\{ 0,2 \right\}$
Work Step by Step
Factoring the given equation, $
4t^2=8t
,$ results to
\begin{array}{l}\require{cancel}
4t^2-8t=0
\\\\
4t(t-2)=0
.\end{array}
Equating each factor to zero (Zero Product Principle), then the solutions to the equation, $
4t(t-2)=0
,$ are
\begin{array}{l}\require{cancel}
4t=0
\\\\
t=\dfrac{0}{4}
\\\\
t=0
,\\\\\text{OR}\\\\
t-2=0
\\\\
t=2
.\end{array}
Hence, $
x=\left\{ 0,2 \right\}
.$
