Question
$$5 \cdot \frac{x}{5}x-25 = 0$$
Answer
$$ \begin{matrix}x_1 = 5 & x_2 = -5 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 5 \cdot \frac{x}{5}x-25 &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]55 \cdot \frac{x}{5}x-5\cdot25 &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]5x^2-125 &= 0&& \\[1 em] \end{aligned} $$
$ 5x^{2}-125 = 0 $ is a quadratic equation.
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