fractions – A faster way to solve $frac1{x^2+6x-15}+frac2{x^2+6x+3}=frac3{x^2+6x+1}$ in a timed test?


What is a faster way to do this problem?

Solve the equation $$
frac{1}{x^2+6x-15} + frac{2}{x^2+6x+3} = frac{3}{x^2+6x+1}
$$

This is from a timed test, so the fastest answers would be the best.
I know the old reliable way is just to multiply the denominators, but I’m pretty sure there is a faster way.