Question
$$297 \cdot \frac{x}{200}+\frac{232243450}{x}-146700 = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 1 }{ 594 }+12505.7145i & x_2 = \dfrac{ 1 }{ 594 }-12505.7145i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 297 \cdot \frac{x}{200}+\frac{232243450}{x}-146700 &= 0&& \text{multiply ALL terms by } \color{blue}{ 200x }. \\[1 em]200x\cdot297 \cdot \frac{x}{200}+200x\cdot\frac{232243450}{x}-200x\cdot146700 &= 200x\cdot0&& \text{cancel out the denominators} \\[1 em]297x^2+46448690000-29340000x &= 0&& \text{simplify left side} \\[1 em]297x^2-x+46448690000 &= 0&& \\[1 em] \end{aligned} $$
$ 297x^{2}-x+46448690000 = 0 $ is a quadratic equation.
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