$$2x-\frac{2}{x} = 0$$
Answer
$$ \begin{matrix}x_1 = 1 & x_2 = -1 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 2x-\frac{2}{x} &= 0&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot2x-x\cdot\frac{2}{x} &= x\cdot0&& \text{cancel out the denominators} \\[1 em]2x^2-2 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}-2 = 0 $ is a quadratic equation.
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