$$4x^3 = 5$$
Answer
$$ \begin{matrix}x_1 = 1.07722 & x_2 = -0.53861+0.9329i & x_3 = -0.53861-0.9329i \end{matrix} $$
Explanation
$$ \begin{aligned} 4x^3 &= 5&& \text{move all terms to the left hand side } \\[1 em]4x^3-5 &= 0&& \\[1 em] \end{aligned} $$
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