Question
$$-125000x^3+251250x^2-92625x = 0$$
Answer
$$ \begin{matrix}x_1 = 0 & x_2 = \dfrac{ 201 }{ 200 }-\dfrac{\sqrt{ 10761 }}{ 200 } & x_3 = \dfrac{ 201 }{ 200 }+\dfrac{\sqrt{ 10761 }}{ 200 } \end{matrix} $$
Explanation
In order to solve $ \color{blue}{ -125000x^{3}+251250x^{2}-92625x = 0 } $, first we need to factor our $ x $.
$$ -125000x^{3}+251250x^{2}-92625x = x \left( -125000x^{2}+251250x-92625 \right) $$$ x = 0 $ is a root of multiplicity $ 1 $.
The remaining roots can be found by solving equation $ -125000x^{2}+251250x-92625 = 0$.
$ -125000x^{2}+251250x-92625 = 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.
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