Question: 10 + c^2 = 74
1. **State the problem:** Solve for $c$ in the equation $$10 + c^2 = 74$$.
2. **Isolate the variable term:** Subtract $10$ from both sides to isolate $c^2$:
$$10 + c^2 = 74$$
$$\cancel{10} + c^2 = 74 - \cancel{10}$$
$$c^2 = 64$$
3. **Solve for $c$:** Take the square root of both sides:
$$c = \pm \sqrt{64}$$
4. **Evaluate the square root:**
$$c = \pm 8$$
5. **Final answer:** The solutions for $c$ are:
$$c = 8 \text{ or } c = -8$$
This means $c$ can be either positive or negative $8$ because squaring either value results in $64$.