Answer
The solutions are $x=0$ and $x=\dfrac{7}{2}$
Work Step by Step
$2x^{2}-7x=0$
Take out common factor $x$ from the left side:
$x(2x-7)=0$
Set both factors equal to $0$ and solve each individual equation for $x$:
$x=0$
$2x-7=0$
$2x=7$
$x=\dfrac{7}{2}$
The solutions are $x=0$ and $x=\dfrac{7}{2}$
