Question
$$1+6k^3+8k = 6k+8k^3+3$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 1+6k^3+8k &= 6k+8k^3+3&& \text{simplify left and right hand side} \\[1 em]6k^3+8k+1 &= 8k^3+6k+3&& \text{move all terms to the left hand side } \\[1 em]6k^3+8k+1-8k^3-6k-3 &= 0&& \text{simplify left side} \\[1 em]-2k^3+2k-2 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using qubic formulas.
This page was created using
Polynomial Equations Solver