$$-6x^3x^2+5x^4-7 = 0$$
Answer
$$ \begin{matrix}x_1 = -0.9051 & x_2 = 1.04776+0.55249i & x_3 = 1.04776-0.55249i \\[1 em] x_4 = -0.17855+0.94171i & x_5 = -0.17855-0.94171i \\[1 em] \end{matrix} $$
Explanation
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