Solving the Equation: (x+4)² = 16
This equation involves a squared term, which means we'll need to use the square root property to solve for x. Here's how to do it:
Step 1: Isolate the Squared Term
The equation is already in this form. We have (x+4)² isolated on the left side.
Step 2: Take the Square Root of Both Sides
Remember that taking the square root of a number results in both a positive and a negative value.
√(x+4)² = ±√16
Step 3: Simplify
This gives us:
x + 4 = ±4
Step 4: Solve for x
Now we have two separate equations to solve:

Case 1: x + 4 = 4
 Subtract 4 from both sides: x = 0

Case 2: x + 4 = 4
 Subtract 4 from both sides: x = 8
Solutions
Therefore, the solutions to the equation (x+4)² = 16 are x = 0 and x = 8.