## Solving the Equation: (x+3)^2 - 5 = 9

This article will guide you through the process of solving the equation (x + 3)² - 5 = 9 step-by-step.

### 1. Isolating the Squared Term

First, we need to isolate the term containing the squared expression, (x + 3)². To do this, add 5 to both sides of the equation:

(x + 3)² - 5 + 5 = 9 + 5

This simplifies to:

(x + 3)² = 14

### 2. Taking the Square Root

Now, we take the square root of both sides of the equation. Remember that taking the square root can result in both a positive and a negative value:

√(x + 3)² = ±√14

This gives us:

x + 3 = ±√14

### 3. Solving for x

Finally, subtract 3 from both sides to isolate x:

x + 3 - 3 = ±√14 - 3

This gives us the two possible solutions for x:

**x = √14 - 3**

**x = -√14 - 3**

### Conclusion

Therefore, the solutions to the equation (x + 3)² - 5 = 9 are **x = √14 - 3** and **x = -√14 - 3**.