$$21500000x^5+106758427x^4+204920335x^3+177638070x^2+46732720x-31424252 = 0$$
Answer
$$ \begin{matrix}x_1 = 31.37906 & x_2 = -25.74812+18.56614i & x_3 = -25.74812-18.56614i \\[1 em] x_4 = 9.55859+30.04087i & x_5 = 9.55859-30.04087i \\[1 em] \end{matrix} $$
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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