1. **State the problem:** Solve the formula $$Q_1 = P (Q_2 - Q_1)$$ for the variable $$Q_2$$. 2. **Write down the formula:** $$Q_1 = P (Q_2 - Q_1)$$ 3. **Distribute $$P$$ on the right side:** $$Q_1 = P Q_2 - P Q_1$$ 4. **Add $$P Q_1$$ to both sides to isolate terms with $$Q_2$$ on one side:** $$Q_1 + P Q_1 = P Q_2$$ 5. **Factor out $$Q_1$$ on the left side:** $$Q_1 (1 + P) = P Q_2$$ 6. **Divide both sides by $$P$$ to solve for $$Q_2$$:** $$Q_2 = \frac{Q_1 (1 + P)}{P}$$ 7. **Show cancellation if possible:** $$Q_2 = Q_1 \frac{\cancel{(1 + P)}}{\cancel{P}}$$ (No common factors to cancel here, so this step is just to illustrate the division.) **Final answer:** $$Q_2 = \frac{Q_1 (1 + P)}{P}$$ This means $$Q_2$$ is expressed in terms of $$Q_1$$ and $$P$$ by multiplying $$Q_1$$ by $$1 + P$$ and then dividing by $$P$$.