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$$2x^3+4x+1 = 0$$
Answer
$$ \begin{matrix}x_1 = -0.24284 & x_2 = 0.12142+1.42977i & x_3 = 0.12142-1.42977i \end{matrix} $$
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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Equations Solver