$$-9a^3+6a^2-9a+2 = 0$$
Answer
$$ \begin{matrix}a_1 = 0.24797 & a_2 = 0.20935+0.92323i & a_3 = 0.20935-0.92323i \end{matrix} $$
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