(x+6)(x+6)=-7

Solution for (x+6)(x+6)=-7 equation:

Simplifying
(x + 6)(x + 6) = -7

Reorder the terms:
(6 + x)(x + 6) = -7

Reorder the terms:
(6 + x)(6 + x) = -7

Multiply (6 + x) * (6 + x)
(6(6 + x) + x(6 + x)) = -7
((6 * 6 + x * 6) + x(6 + x)) = -7
((36 + 6x) + x(6 + x)) = -7
(36 + 6x + (6 * x + x * x)) = -7
(36 + 6x + (6x + x2)) = -7

Combine like terms: 6x + 6x = 12x
(36 + 12x + x2) = -7

Solving
36 + 12x + x2 = -7

Solving for variable 'x'.

Reorder the terms:
36 + 7 + 12x + x2 = -7 + 7

Combine like terms: 36 + 7 = 43
43 + 12x + x2 = -7 + 7

Combine like terms: -7 + 7 = 0
43 + 12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-43' to each side of the equation.
43 + 12x + -43 + x2 = 0 + -43

Reorder the terms:
43 + -43 + 12x + x2 = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 12x + x2 = 0 + -43
12x + x2 = 0 + -43

Combine like terms: 0 + -43 = -43
12x + x2 = -43

The x term is 12x.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12x + 36 + x2 = -43 + 36

Reorder the terms:
36 + 12x + x2 = -43 + 36

Combine like terms: -43 + 36 = -7
36 + 12x + x2 = -7

Factor a perfect square on the left side:
(x + 6)(x + 6) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.