Answer
$x=0$ and $x=4$ and $x=\frac{9}{2}$
Work Step by Step
$5x(x-4)(2x-9)=0$
Using the Zero Product Property
$5x=0$ and $x-4=0$ and $2x-9=0$
The first equation:
$5x=0$
Divide by $5$
$x=0$
The second equation
$x-4=0$
Add $4$ to both sides
$x=4$
The third equation
$2x-9=0$
Add $9$ to both sides
$2x=9$
Divide by $2$
$x=\frac{9}{2}$
