Question
$$-8x+4 \cdot \frac{x}{12}x-6 = 0$$
Answer
$$ \begin{matrix}x_1 = 12-9 \sqrt{ 2 } & x_2 = 12+9 \sqrt{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} -8x+4 \cdot \frac{x}{12}x-6 &= 0&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]-12\cdot8x+124 \cdot \frac{x}{12}x-12\cdot6 &= 12\cdot0&& \text{cancel out the denominators} \\[1 em]-96x+4x^2-72 &= 0&& \text{simplify left side} \\[1 em]4x^2-96x-72 &= 0&& \\[1 em] \end{aligned} $$
$ 4x^{2}-96x-72 = 0 $ is a quadratic equation.
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