Verified answer

Answer:

-6, -2

Step-by-step explanation:

This question asks us for the roots of the quadratic equation. Given this, we first need to arrange the given equation in the standard form.

Now, we need to simplify the equation.

x^2 + 8x + 16 - 4 = 0

x^2 + 8x + 12 = 0

Now, we can clearly see the quadratic equation, and we have arranged it to its standard form.

Now, we can start to factorize.

x^2 + 8x + 12 = 0

(x+6)(x+2) = 0

Now, remember that if a product is zero, then one of its factors must be 0.

Using this rule, either x+6 or x+2 must be 0.

x+6 = 0 or x+2 = 0

x = -6, -2

Therefore, the roots of this quadratic equation are -6 and -2.

Hope this helps!

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