To put it bluntly, how do I go about solving:

$\displaystyle \frac{e^{-10s}}{(s + 3)(s+2)}$

I'm doing a Laplace Transform of the below, and can't work out how to solve the partial fraction I get (i.e. the above partial fraction). I know how to solve partial fractions normally, it's just the $\displaystyle e^{-10s}$ that's giving me trouble.

$\displaystyle x'' + 5x' + 6x(t) = \delta(t-10)$