Answer
$x=\{ 0,5 \}$
Work Step by Step
Dividing both sides by $2,$ the given expression is equivalent to
\begin{array}{l}\require{cancel}
2x^2-10x=0
\\\\
\dfrac{2x^2-10x}{2}=\dfrac{0}{2}
\\\\
x^2-5x=0
.\end{array}
Factoring the $GCF=2x,$ the given expression is equivalent to
\begin{array}{l}\require{cancel}
2x^2-10x=0
\\\\
2x(x-5)=0
.\end{array}
Equating each factor to zero (Zero Product Property), then
\begin{array}{l}\require{cancel}
2x=0
\\\\\text{OR}\\\\
x-5=0
.\end{array}
Solving each equation results to
\begin{array}{l}\require{cancel}
2x=0
\\\\
x=\dfrac{0}{2}
\\\\
x=0
\\\\\text{OR}\\\\
x-5=0
\\\\
x=5
.\end{array}
Hence, the solutions are $
x=\{ 0,5 \}
.$
