Question
$$2-x-\frac{3}{x} = 0$$
Answer
$$ \begin{matrix}x_1 = 1+\sqrt{ 2 }i & x_2 = 1-\sqrt{ 2 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 2-x-\frac{3}{x} &= 0&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot2-xx-x\cdot\frac{3}{x} &= x\cdot0&& \text{cancel out the denominators} \\[1 em]2x-x^2-3 &= 0&& \text{simplify left side} \\[1 em]-x^2+2x-3 &= 0&& \\[1 em] \end{aligned} $$
$ -x^{2}+2x-3 = 0 $ is a quadratic equation.
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