Subjects algebra

Solve For Q 3Ac709

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Question: Solve for $q$ in terms of $p$ and $r$. r = -qp q =
1. **State the problem:** We need to solve for $q$ in the equation $$r = -qp$$. 2. **Write the formula and isolate $q$:** The equation is $$r = -qp$$. To solve for $q$, we want to isolate $q$ on one side. 3. **Divide both sides by $-p$:** $$q = \frac{r}{-p}$$ 4. **Simplify the expression:** $$q = -\frac{r}{p}$$ 5. **Explanation:** Dividing both sides by $-p$ cancels the $-p$ multiplying $q$, leaving $q$ alone. The negative sign moves to the numerator. **Final answer:** $$q = -\frac{r}{p}$$