Question
$$297 \cdot \frac{x^2}{200}+\frac{232243450}{x^2}-146700 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 297 \cdot \frac{x^2}{200}+\frac{232243450}{x^2}-146700 &= 0&& \text{multiply ALL terms by } \color{blue}{ 200x^2 }. \\[1 em]200x^2\cdot297 \cdot \frac{x^2}{200}+200x^2\cdot\frac{232243450}{x^2}-200x^2\cdot146700 &= 200x^2\cdot0&& \text{cancel out the denominators} \\[1 em]297x^4+46448690000-29340000x^2 &= 0&& \text{simplify left side} \\[1 em]297x^4-x^2+46448690000 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using quartic formulas
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Equations Solver