The equation provided is:

$tp = -rsq$

We are asked to solve for $s$ in terms of $p$, $q$, $r$, and $t$.

Steps to solve for $s$:

1. Start with the equation: $tp = -rsq$
2. Divide both sides of the equation by $-rq$ to isolate $s$: $s = \frac{tp}{-rq}$ Simplifying the negative sign: $s = -\frac{tp}{rq}$

Thus, the solution for $s$ is:

$s = -\frac{tp}{rq}$

Would you like more details or have any questions about this solution?

Here are five related questions you might explore:

1. How would the solution change if one of the variables, say $q$, was zero?
2. What happens if you solve for $r$ instead of $s$?
3. Can this equation be used to model a real-life situation?
4. How does the solution vary if we change the sign on one side of the equation?
5. How would solving this equation graphically look?

Tip: When isolating variables, always check for possible divisions by zero as they can make the equation undefined.