$$2s^5+3s^4+2s^3+3s^2+2s+1 = 0$$
Answer
$$ \begin{matrix}s_1 = -1.33069 & s_2 = 0.32844+0.88991i & s_3 = 0.32844-0.88991i \\[1 em] s_4 = -0.41309+0.49692i & s_5 = -0.41309-0.49692i \\[1 em] \end{matrix} $$
Explanation
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using Newton method.
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