(x+8)(x+8)=-25

Solution for (x+8)(x+8)=-25 equation:

Simplifying
(x + 8)(x + 8) = -25

Reorder the terms:
(8 + x)(x + 8) = -25

Reorder the terms:
(8 + x)(8 + x) = -25

Multiply (8 + x) * (8 + x)
(8(8 + x) + x(8 + x)) = -25
((8 * 8 + x * 8) + x(8 + x)) = -25
((64 + 8x) + x(8 + x)) = -25
(64 + 8x + (8 * x + x * x)) = -25
(64 + 8x + (8x + x2)) = -25

Combine like terms: 8x + 8x = 16x
(64 + 16x + x2) = -25

Solving
64 + 16x + x2 = -25

Solving for variable 'x'.

Reorder the terms:
64 + 25 + 16x + x2 = -25 + 25

Combine like terms: 64 + 25 = 89
89 + 16x + x2 = -25 + 25

Combine like terms: -25 + 25 = 0
89 + 16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-89' to each side of the equation.
89 + 16x + -89 + x2 = 0 + -89

Reorder the terms:
89 + -89 + 16x + x2 = 0 + -89

Combine like terms: 89 + -89 = 0
0 + 16x + x2 = 0 + -89
16x + x2 = 0 + -89

Combine like terms: 0 + -89 = -89
16x + x2 = -89

The x term is 16x.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16x + 64 + x2 = -89 + 64

Reorder the terms:
64 + 16x + x2 = -89 + 64

Combine like terms: -89 + 64 = -25
64 + 16x + x2 = -25

Factor a perfect square on the left side:
(x + 8)(x + 8) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.