0=(-(x+4)(x+4))-7

Solution for 0=(-(x+4)(x+4))-7 equation:

Simplifying
0 = (-1(x + 4)(x + 4)) + -7

Reorder the terms:
0 = (-1(4 + x)(x + 4)) + -7

Reorder the terms:
0 = (-1(4 + x)(4 + x)) + -7

Multiply (4 + x) * (4 + x)
0 = (-1(4(4 + x) + x(4 + x))) + -7
0 = (-1((4 * 4 + x * 4) + x(4 + x))) + -7
0 = (-1((16 + 4x) + x(4 + x))) + -7
0 = (-1(16 + 4x + (4 * x + x * x))) + -7
0 = (-1(16 + 4x + (4x + x2))) + -7

Combine like terms: 4x + 4x = 8x
0 = (-1(16 + 8x + x2)) + -7
0 = ((16 * -1 + 8x * -1 + x2 * -1)) + -7
0 = ((-16 + -8x + -1x2)) + -7
0 = (-16 + -8x + -1x2) + -7

Remove parenthesis around (-16 + -8x + -1x2)
0 = -16 + -8x + -1x2 + -7

Reorder the terms:
0 = -16 + -7 + -8x + -1x2

Combine like terms: -16 + -7 = -23
0 = -23 + -8x + -1x2

Solving
0 = -23 + -8x + -1x2

Solving for variable 'x'.

Combine like terms: 0 + 23 = 23
23 + 8x + x2 = -23 + -8x + -1x2 + 23 + 8x + x2

Reorder the terms:
23 + 8x + x2 = -23 + 23 + -8x + 8x + -1x2 + x2

Combine like terms: -23 + 23 = 0
23 + 8x + x2 = 0 + -8x + 8x + -1x2 + x2
23 + 8x + x2 = -8x + 8x + -1x2 + x2

Combine like terms: -8x + 8x = 0
23 + 8x + x2 = 0 + -1x2 + x2
23 + 8x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
23 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-23' to each side of the equation.
23 + 8x + -23 + x2 = 0 + -23

Reorder the terms:
23 + -23 + 8x + x2 = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 8x + x2 = 0 + -23
8x + x2 = 0 + -23

Combine like terms: 0 + -23 = -23
8x + x2 = -23

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -23 + 16

Reorder the terms:
16 + 8x + x2 = -23 + 16

Combine like terms: -23 + 16 = -7
16 + 8x + x2 = -7

Factor a perfect square on the left side:
(x + 4)(x + 4) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.