$$12x^3+101x^2+240x+175 = 2$$
Answer
$$ \begin{matrix}x_1 = -1.48658 & x_2 = -1.94561 & x_3 = -4.98447 \end{matrix} $$
Explanation
$$ \begin{aligned} 12x^3+101x^2+240x+175 &= 2&& \text{move all terms to the left hand side } \\[1 em]12x^3+101x^2+240x+175-2 &= 0&& \text{simplify left side} \\[1 em]12x^3+101x^2+240x+173 &= 0&& \\[1 em] \end{aligned} $$
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