Question
$$\frac{2x-5}{3}x-1 = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 1 }{ 2 } & x_2 = 3 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{2x-5}{3}x-1 &= 0&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2x-5}{3}x-3\cdot1 &= 3\cdot0&& \text{cancel out the denominators} \\[1 em]2x^2-5x-3 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}-5x-3 = 0 $ is a quadratic equation.
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