$$14x^3+5x^2 = 9x+13$$
Answer
$$ \begin{matrix}x_1 = 1.06505 & x_2 = -0.7111+0.60514i & x_3 = -0.7111-0.60514i \end{matrix} $$
Explanation
$$ \begin{aligned} 14x^3+5x^2 &= 9x+13&& \text{move all terms to the left hand side } \\[1 em]14x^3+5x^2-9x-13 &= 0&& \\[1 em] \end{aligned} $$
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