Answer and step-by-step explanation:
To find the value of x, equate the given polynomial to 0.
x² + 4x + 4 = 0
Then factor it by grouping.
x² + 4x + 4 = 0
x² + 2x + 2x + 4 = 0
(x² + 2x) + (2x + 4) = 0
x(x + 2) + 2(x + 2) = 0
(x + 2)(x + 2) = 0
Then equate each factor individually.
Move 2 to the right side of the equation by subtracting 2 to both sides of the equation.
x + 2 = 0
x + 2 - 2 = 0 - 2
x = -2
x + 2 = 0
x + 2 - 2 = 0 - 2
x = -2
Therefore, the value of x in the given polynomial is -2.
