Question

Solve the quadratic equation x^2 + 4x + 4 = 0

Answer 1

To solve the quadratic equation \( x^2 + 4x + 4 = 0 \), we can factor the left side of the equation.

The equation can be rewritten as:

\[
(x + 2)(x + 2) = 0
\]

or

\[
(x + 2)^2 = 0
\]

To find the solution, we set the factor equal to zero:

\[
x + 2 = 0
\]

Solving for \( x \), we get:

\[
x = -2
\]

Therefore, the solution to the equation \( x^2 + 4x + 4 = 0 \) is:

\[
\boxed{-2}
\]

This equation has a double root, meaning \( x = -2 \) is the only solution.