Question
$$x\cdot\frac{1}{2}x = 162$$
Answer
$$ \begin{matrix}x_1 = 18 & x_2 = -18 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x\cdot\frac{1}{2}x &= 162&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2x\cdot\frac{1}{2}x &= 2\cdot162&& \text{cancel out the denominators} \\[1 em]x^2 &= 324&& \text{move all terms to the left hand side } \\[1 em]x^2-324 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}-324 = 0 $ is a quadratic equation.
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