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.