Answer
$x=-5$ and $x=\frac{3}{8}$
Work Step by Step
$3(x+5)(8x-3)=0$
Using the Zero Product Property
$3=0$ and $x+5=0$ and $8x-3=0$
The first equation $3=0$ is false and cannot be solved.
The second equation:
$x+5=0$
subtract $5$ from both sides
$x=-5$
The third equation
$8x-3=0$
add $3$ to both sides
$8x=3$
Divide by $8$
$x=\frac{3}{8}$