$$-54x^3+108x^2-54x = 0$$
Answer
$$ \begin{matrix}x_1 = 0 & x_2 = 1 \\[1 em] \end{matrix} $$
Explanation
In order to solve $ \color{blue}{ -54x^{3}+108x^{2}-54x = 0 } $, first we need to factor our $ x $.
$$ -54x^{3}+108x^{2}-54x = x \left( -54x^{2}+108x-54 \right) $$$ x = 0 $ is a root of multiplicity $ 1 $.
The remaining roots can be found by solving equation $ -54x^{2}+108x-54 = 0$.
$ -54x^{2}+108x-54 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
This page was created using
Polynomial Equations Solver