$$6x^3+x^2 = 12$$
Answer
$$ \begin{matrix}x_1 = 1.20674 & x_2 = -0.6867+1.08894i & x_3 = -0.6867-1.08894i \end{matrix} $$
Explanation
$$ \begin{aligned} 6x^3+x^2 &= 12&& \text{move all terms to the left hand side } \\[1 em]6x^3+x^2-12 &= 0&& \\[1 em] \end{aligned} $$
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