The roots of polynomial $ p(s) $ are:
$$ \begin{aligned}s_1 &= 8.2008\\[1 em]s_2 &= -1.1004+1.3556i\\[1 em]s_3 &= -1.1004-1.3556i \end{aligned} $$Polynomial $ 2s^3-12s^2-30s-50 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.