Answer
$x=-3$ and $x=4$ and $x=-\frac{1}{5}$
Work Step by Step
$6(x+3)(x-4)(5x+1)=0$
Using the Zero Product Property
$6=0$ and $x+3=0$ and $x-4=0$ and $5x+1=0$
The first equation $6=0$ is false.
The second equation:
$x+3=0$
Subtract $3$ from both sides
$x=-3$
The third equation
$x-4=0$
Add $4$ to both sides
$x=4$
The fourth equation
$5x+1=0$
Subtract $1$ from both sides
$5x=-1$
Divide by $5$
$x=-\frac{1}{5}$