$$-2x^4-20x^3+4x+10 = 0$$
Answer
$$ \begin{matrix}x_1 = 0.85166 & x_2 = -9.98496 & x_3 = -0.43335+0.6326i \\[1 em] x_4 = -0.43335-0.6326i & \\[1 em] \end{matrix} $$
Explanation
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using quartic formulas
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