## Solving the Equation: (x + 4)² = 25

This equation involves a squared term, making it a quadratic equation. Here's how to solve it:

**1. Take the Square Root of Both Sides**

Since the left side of the equation is squared, we can isolate the variable by taking the square root of both sides:

√(x + 4)² = ±√25

**2. Simplify**

The square root of (x + 4)² is simply (x + 4), and the square root of 25 is 5. Remember, when taking the square root, we need to consider both positive and negative values:

x + 4 = ±5

**3. Solve for x**

Now we have two separate equations:

- x + 4 = 5
- x + 4 = -5

**Solving the first equation:**
Subtract 4 from both sides:
x = 5 - 4
x = 1

**Solving the second equation:**
Subtract 4 from both sides:
x = -5 - 4
x = -9

**Solution**

Therefore, the solutions to the equation (x + 4)² = 25 are:

**x = 1** and **x = -9**