You want to solve for \( u \) in the equation:

\[
V = \frac{-1}{w(tu)}
\]

Let's go through the steps to isolate \( u \):

1. Multiply both sides of the equation by \( w(tu) \) to eliminate the denominator:
   \[
   V \cdot w(tu) = -1
   \]

2. Divide both sides of the equation by \( V \) to get:
   \[
   w(tu) = \frac{-1}{V}
   \]

3. Assuming \( w(tu) \) is a function of \( tu \), you would need to solve for \( u \) based on the form of \( w \). Without knowing the specific form of \( w \), this is as simplified as we can make the equation.

Would you like to provide more details about the function \( w \), or should I assume it's a known function (like a linear or trigonometric function)? 

Here are some related questions you may find useful:
1. What kind of function is \( w \)? (e.g., linear, exponential, etc.)
2. Is there a specific range of values for \( V \) or \( t \) in your problem?
3. Would you like to differentiate or integrate this equation at any point?
4. Are you working with specific initial conditions or values for \( u \)?
5. Do you need help interpreting any physical meaning behind the variables?

**Tip**: When solving for variables in complex functions, check if the function type is explicitly given to make further progress easier!

This page provides a detailed guide to solving for u in the equation V = -1/w(tu). Learn how to isolate variables, manipulate functions, and simplify complex expressions. Ideal for high school students tackling advanced algebra problems in Grades 10-12.

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