Question
$$\frac{1028}{10}+5xx = 20$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 3 \sqrt{ 46}}{ 5 } i & x_2 = -3 \dfrac{\sqrt{ 46 }}{ 5 } i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{1028}{10}+5xx &= 20&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10\cdot\frac{1028}{10}+105xx &= 10\cdot20&& \text{cancel out the denominators} \\[1 em]1028+50x^2 &= 200&& \text{simplify left side} \\[1 em]50x^2+1028 &= 200&& \text{move all terms to the left hand side } \\[1 em]50x^2+1028-200 &= 0&& \text{simplify left side} \\[1 em]50x^2+828 &= 0&& \\[1 em] \end{aligned} $$
$ 50x^{2}+828 = 0 $ is a quadratic equation.
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