Question
$$4 \cdot \frac{x^2}{x} = 4x$$
Answer
$$ \begin{matrix}x_1 = 1 & x_2 = -1 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 4 \cdot \frac{x^2}{x} &= 4x&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot4 \cdot \frac{x^2}{x} &= x\cdot4x&& \text{cancel out the denominators} \\[1 em]4 &= 4x^2&& \text{move all terms to the left hand side } \\[1 em]4-4x^2 &= 0&& \text{simplify left side} \\[1 em]-4x^2+4 &= 0&& \\[1 em] \end{aligned} $$
$ -4x^{2}+4 = 0 $ is a quadratic equation.
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