$$2(x-2)^3+4(x-13)^3 = 0$$
Answer
$$ \begin{matrix}x_1 = 8.13257 & x_2 = 9.93371+9.04146i & x_3 = 9.93371-9.04146i \end{matrix} $$
Explanation
$$ \begin{aligned} 2(x-2)^3+4(x-13)^3 &= 0&& \text{simplify left side} \\[1 em]2(x^3-6x^2+12x-8)+4(x^3-39x^2+507x-2197) &= 0&& \\[1 em]2x^3-12x^2+24x-16+4x^3-156x^2+2028x-8788 &= 0&& \\[1 em]6x^3-168x^2+2052x-8804 &= 0&& \\[1 em] \end{aligned} $$
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