$$-8x^3+32x^2+5x-2 = 0$$
Answer
$$ \begin{matrix}x_1 = 0.18689 & x_2 = -0.32338 & x_3 = 4.13648 \end{matrix} $$
Explanation
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using qubic formulas.
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Polynomial Equations Solver