$$3x^2+2x+7x^3 = 10x^2+6x+9$$
Answer
$$ \begin{matrix}x_1 = 1.74781 & x_2 = -0.37391+0.77188i & x_3 = -0.37391-0.77188i \end{matrix} $$
Explanation
$$ \begin{aligned} 3x^2+2x+7x^3 &= 10x^2+6x+9&& \text{simplify left side} \\[1 em]7x^3+3x^2+2x &= 10x^2+6x+9&& \text{move all terms to the left hand side } \\[1 em]7x^3+3x^2+2x-10x^2-6x-9 &= 0&& \text{simplify left side} \\[1 em]7x^3-7x^2-4x-9 &= 0&& \\[1 em] \end{aligned} $$
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