## Solving the Equation (x + 3)^2 = 50

This equation involves a squared term, so we need to use the square root property to solve it. Here's how to break it down:

### Step 1: Isolate the Squared Term

The squared term is already isolated on the left side of the equation.

### Step 2: Take the Square Root of Both Sides

Taking the square root of both sides of the equation gives us:

√((x + 3)^2) = ±√50

**Remember**: When taking the square root of both sides, we need to consider both positive and negative solutions.

### Step 3: Simplify

Simplifying the square roots, we get:

x + 3 = ±√(25 * 2) x + 3 = ±5√2

### Step 4: Isolate x

Subtract 3 from both sides to isolate x:

x = -3 ± 5√2

### Solutions

Therefore, the solutions to the equation (x + 3)^2 = 50 are:

- x = -3 + 5√2
- x = -3 - 5√2

These are the two possible values of x that satisfy the original equation.