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Factorize x^2+4x+4=0

User Asil
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Final answer:

The equation x^2 + 4x + 4 = 0 is a perfect square and can be factored as (x + 2)^2, which has a root of x = -2.

Step-by-step explanation:

To factorize the equation x² + 4x + 4 = 0, we need to find two numbers that multiply to give 4 and add up to give 4.

In this case, the numbers are 2 and 2.

So the equation can be factored as (x + 2)(x + 2) = 0.

Since both terms are the same, we can write it as (x + 2)² = 0.

To solve for x, we take the square root of both sides, giving us x + 2 = 0.

Solving for x, we get x = -2.

User ColemanTO
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