$$(2x-3)(x-1) = 0$$
Answer
$$ \begin{matrix}x_1 = 1 & x_2 = \dfrac{ 3 }{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (2x-3)(x-1) &= 0&& \text{simplify left side} \\[1 em]2x^2-2x-3x+3 &= 0&& \\[1 em]2x^2-5x+3 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}-5x+3 = 0 $ is a quadratic equation.
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