The given equation is:

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

To simplify it further:

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

This is the expression in its simplified form. If you would like to take the derivative, evaluate it for certain values of \( x \), or perform any other operation, let me know!

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. What is the first derivative of the function \( y = 5x^2 + \frac{1}{2x} \)?
2. What is the second derivative of this function?
3. How does this function behave as \( x \to \infty \)?
4. What are the critical points of this function?
5. How do you find the area under this curve?

**Tip**: Always check for simplifications in a given equation, as it can make further operations easier!

Explore how to simplify the rational function y = 5x^2 + 2/(4x) in this step-by-step breakdown. This problem involves algebraic manipulation and simplification techniques, making it ideal for high school students in Grades 10-12.

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