Problem

Use the quadratic formula to solve the equation.
\[
x^{2}+4 x+4=0
\]

Answer

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Answer

Final Answer: \(\boxed{-2}\)

Steps

Step 1 :The given equation is \(x^{2}+4 x+4=0\).

Step 2 :We can solve this equation using the quadratic formula, which is \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\).

Step 3 :In this equation, \(a = 1\), \(b = 4\), and \(c = 4\).

Step 4 :Substitute these values into the quadratic formula to find the solutions for \(x\).

Step 5 :The discriminant \(D = b^2 - 4ac = 0\).

Step 6 :Since the discriminant is 0, the equation has one unique solution.

Step 7 :The solution is \(x = -2\).

Step 8 :Final Answer: \(\boxed{-2}\)

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