Question
$$5-22+\frac{20}{4}x16x\cdot2 = 0$$
Answer
$$ \begin{matrix}x_1 = - \dfrac{\sqrt{ 170 }}{ 40 } & x_2 = \dfrac{\sqrt{ 170 }}{ 40 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 5-22+\frac{20}{4}x16x\cdot2 &= 0&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot5-4\cdot22+4 \cdot \frac{20}{4}x16x\cdot2 &= 4\cdot0&& \text{cancel out the denominators} \\[1 em]20-88+640x^2 &= 0&& \text{simplify left side} \\[1 em]640x^2-68 &= 0&& \\[1 em] \end{aligned} $$
$ 640x^{2}-68 = 0 $ is a quadratic equation.
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