Question
$$6x+17+8x^4+2x^2+6x+2x^3+26 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 6x+17+8x^4+2x^2+6x+2x^3+26 &= 0&& \text{simplify left side} \\[1 em]8x^4+2x^3+2x^2+12x+43 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using quartic formulas
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Equations Solver