Answer
$x=-3,5$
Work Step by Step
Given: $x^2-2x-15=0$
Need to use factorization to solve the quadratic equation.
This can be factorized as follows:
$x^2+3x-5x-15=0$
or, $(x+3)(x-5)=0$
Now $x+3=0$ and $x-5=0$
Roots are $x=-3,5$