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