Question 231064
Method: Completing the Square.

x² + 4x + 9 =

Subtract 9 from both sides.
x² + 4x = -9

Now you're ready to complete the square.
x² + 4x + ______ = -9 + ______

Take the coefficient of the x term: 4
Divide it by 2: 4/2 = 2
Square it: 2² = 4
Add this to both sides.
x² + 4x + 4 = -9 + 4
(x + 2)² = -5

Add 5 to both sides.
(x + 2)² + 5