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To solve the given rational equation:

\[
1 + \frac{5}{x} = \frac{3}{2x} = \frac{3}{4x^2}
\]

We should first recognize that there may be a typo in the problem. The expression should be solved in stages, starting by addressing the equation involving fractions. However, the notation with the "=" sign repeated needs to be clarified, as it's unusual. Please confirm if the problem should instead be:

\[
1 + \frac{5}{x} = \frac{3}{2x} + \frac{3}{4x^2}
\]

If that is correct, we can proceed to solve it. Please let me know, or you can provide further clarification.

Learn how to solve the rational equation 1 + 5/x = 3/2x = 3/4x^2 by combining fractions and finding common denominators. This problem highlights key concepts in algebra and rational expressions, suitable for students in Grades 8-10.

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