## Solving the Equation (x+2)^2 - 49 = 0

This equation represents a quadratic equation in a disguised form. Let's break down how to solve it:

### 1. Simplify the Equation

**Add 49 to both sides:**This isolates the squared term. (x+2)^2 = 49

### 2. Take the Square Root of Both Sides

**Remember:**When taking the square root of both sides, we need to consider both positive and negative solutions. x + 2 = ±7

### 3. Isolate x

**Subtract 2 from both sides:**x = -2 ± 7

### 4. Find the Solutions

**Two solutions emerge:**- x = -2 + 7 = 5
- x = -2 - 7 = -9

### Conclusion

Therefore, the solutions to the equation (x+2)^2 - 49 = 0 are **x = 5** and **x = -9**.