Question
$$68 = 29-2x^5$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 68 &= 29-2x^5&& \text{simplify right side} \\[1 em]68 &= -2x^5+29&& \text{move all terms to the left hand side } \\[1 em]68+2x^5-29 &= 0&& \text{simplify left side} \\[1 em]2x^5+39 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using Newton method.
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