Question
$$2x^3+5x^2-8x = 1$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 2x^3+5x^2-8x &= 1&& \text{move all terms to the left hand side } \\[1 em]2x^3+5x^2-8x-1 &= 0&& \\[1 em] \end{aligned} $$
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