The solutions for $Z_2$ are:

$Z_2 = -\frac{79\pi^2}{2} + 22 + \frac{\pi \sqrt{37288 + 6241\pi^2}}{2}$ or $Z_2 = -\frac{\pi \sqrt{37288 + 6241\pi^2}}{2} - \frac{79\pi^2}{2} + 22$

These are in terms of $\pi$. To get the numerical values, I can simplify the solutions further. Let's calculate the approximate values.The approximate solutions for $Z_2$ are:

1. $Z_2 \approx 126.10$
2. $Z_2 \approx -861.80$

Depending on the context of your problem, you may want to select the positive solution, $Z_2 \approx 126.10$, as it is typically more physically meaningful.

Would you like to explore further details or have any additional questions?

Here are 5 related questions for further understanding:

1. How does the term involving $(Z_1 - Z_2)^2$ affect the behavior of the equation?
2. What would happen if the value of $L$ was larger or smaller?
3. Can the equation have multiple physical meanings, and how do we decide which solution to use?
4. What is the significance of the constants $A$ and $T$ in this equation?
5. How does the equation change if $Z_1$ and $Z_2$ are close in value?

Tip: When solving quadratic equations, it is important to consider the physical meaning of each solution, especially when negative values arise.