I want to convert the following equation from Laplace domain to continuous time domain:
$F(s) = \frac{-2 m k v R}{2 m R s^{2} + m k s + 2 k R}$
m, k, v, R are all constants.
If I can factor or put this into partial fractions, I can use the table here to convert: https://lpsa.swarthmore.edu/LaplaceZTable/LaplaceZFuncTable.html
eg.
$ \frac{1}{s+a} = e^{-at}$
But I don't know how to break it down into that form. Is it doable? If so, how?
I have learned how to convert Laplace into the z-domain but I have found some problems with that. In particular, I need continuous time equations to set up the [n-1] and [n-2] etc. samples for the initial run or I won't get useful outputs.