$$-4000x^3+4380x^2-1185x+54 = 0$$
Answer
$$ \begin{matrix}x_1 = 0.05692 & x_2 = 0.33948 & x_3 = 0.6986 \end{matrix} $$
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