Question
$$-25x^3+50x^2-25x = 0$$
Answer
$$ \begin{matrix}x_1 = 0 & x_2 = 1 \\[1 em] \end{matrix} $$
Explanation
In order to solve $ \color{blue}{ -25x^{3}+50x^{2}-25x = 0 } $, first we need to factor our $ x $.
$$ -25x^{3}+50x^{2}-25x = x \left( -25x^{2}+50x-25 \right) $$$ x = 0 $ is a root of multiplicity $ 1 $.
The remaining roots can be found by solving equation $ -25x^{2}+50x-25 = 0$.
$ -25x^{2}+50x-25 = 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