$$\frac{x}{8} = \frac{3}{x-2}$$
Answer
$$ \begin{matrix}x_1 = -4 & x_2 = 6 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{x}{8} &= \frac{3}{x-2}&& \text{multiply ALL terms by } \color{blue}{ 8(x-2) }. \\[1 em]8(x-2)\frac{x}{8} &= 8(x-2)\cdot\frac{3}{x-2}&& \text{cancel out the denominators} \\[1 em]x^2-2x &= 24&& \text{move all terms to the left hand side } \\[1 em]x^2-2x-24 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}-2x-24 = 0 $ is a quadratic equation.
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