Answer
The solutions are $x=5$ and $x=-2$
Work Step by Step
$x^{2}-3x-10=0$
Solve this equation by factoring:
$(x-5)(x+2)=0$
Set both factors equal to $0$ and solve each individual equation for $x$:
$x-5=0$
$x=5$
$x+2=0$
$x=-2$
The solutions are $x=5$ and $x=-2$