1. The equation given is $pqm = psm$. 2. We want to isolate the variables to understand the relationship. To do this, first note that $p$ appears on both sides of the equation. 3. Assuming $p \neq 0$, we can divide both sides by $p$ to simplify: $$\frac{pqm}{p} = \frac{psm}{p}$$ This simplifies to: $$qm = sm$$ 4. Next, assuming $m \neq 0$, divide both sides by $m$: $$\frac{qm}{m} = \frac{sm}{m}$$ Simplifying gives: $$q = s$$ 5. Therefore, the equation $pqm = psm$ implies $q = s$ if $p \neq 0$ and $m \neq 0$. Final answer: $q = s$ under the conditions $p \neq 0$ and $m \neq 0$.