Answer
$\color{blue}{\left\{0, 4.5\right\}}$
Work Step by Step
Factor out $x$ to obtain:
$x(2x-9)=0$
RECALL:
The Zero-Factor Property states that if $ab=0$, then $a=0$ or $b=0$, or both are zero.
Use the Zero-Factor Property by equating each factor to zero to obtain:
$x=0$ or $2x-9=0$
Solve each equation to obtain:
$x=0$
or
$2x-9=0
\\2x=0+9
\\2x=9
\\\frac{2x}{2}=\frac{9}{2}
\\x=4.5$
Therefore, the solution set is $\color{blue}{\left\{0, 4.5\right\}}$.
