$$\frac{4}{3}x-\frac{1}{x} = 0$$
Answer
$$ \begin{matrix}x_1 = - \dfrac{\sqrt{ 3 }}{ 2 } & x_2 = \dfrac{\sqrt{ 3 }}{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{4}{3}x-\frac{1}{x} &= 0&& \text{multiply ALL terms by } \color{blue}{ 3x }. \\[1 em]3x \cdot \frac{4}{3}x-3x\cdot\frac{1}{x} &= 3x\cdot0&& \text{cancel out the denominators} \\[1 em]4x^2-3 &= 0&& \\[1 em] \end{aligned} $$
$ 4x^{2}-3 = 0 $ is a quadratic equation.
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