Question
$$-9+6x^2+(-6x^3+4)(3x^6+5x^3+1) = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -9+6x^2+(-6x^3+4)(3x^6+5x^3+1) &= 0&& \text{simplify left side} \\[1 em]-9+6x^2-18x^9-30x^6-6x^3+12x^6+20x^3+4 &= 0&& \\[1 em]-9+6x^2-18x^9-18x^6+14x^3+4 &= 0&& \\[1 em]-18x^9-18x^6+14x^3+6x^2-5 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using Newton method.
This page was created using
Polynomial Equations Solver