Completing the Square
ALGEBRA
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Step-by-step explanation:

1:    x^2 + 6x = - 7

2:   x^2 + 6x + (6/2)^2 = -7 + (6/2)^2

2:   x^2 + 6x + 9 = - 7 + 9    This might be a 2

2:   x^2 + 6x + 9 = 2

3:   (x + 3)^2 = 2

4:   √(x + 3)^2 = √2  

5:    x + 3 = +/- √2

6:    x = -3 +/- √2

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