Question
$$\frac{333}{10}x^2 = x$$
Answer
$$ \begin{matrix}x_1 = 0 & x_2 = \dfrac{ 10 }{ 333 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{333}{10}x^2 &= x&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10 \cdot \frac{333}{10}x^2 &= 10x&& \text{cancel out the denominators} \\[1 em]333x^2 &= 10x&& \text{move all terms to the left hand side } \\[1 em]333x^2-10x &= 0&& \\[1 em] \end{aligned} $$
In order to solve $ \color{blue}{ 333x^{2}-10x = 0 } $, first we need to factor our $ x $.
$$ 333x^{2}-10x = x \left( 333x-10 \right) $$$ x = 0 $ is a root of multiplicity $ 1 $.
The second root can be found by solving equation $ 333x-10 = 0$.
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