Question
$$2x^2-5x+10 = 4x^3$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 2x^2-5x+10 &= 4x^3&& \text{move all terms to the left hand side } \\[1 em]2x^2-5x+10-4x^3 &= 0&& \text{simplify left side} \\[1 em]-4x^3+2x^2-5x+10 &= 0&& \\[1 em] \end{aligned} $$
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