(x+6)(x+6)=-25

Solution for (x+6)(x+6)=-25 equation:

Simplifying
(x + 6)(x + 6) = -25

Reorder the terms:
(6 + x)(x + 6) = -25

Reorder the terms:
(6 + x)(6 + x) = -25

Multiply (6 + x) * (6 + x)
(6(6 + x) + x(6 + x)) = -25
((6 * 6 + x * 6) + x(6 + x)) = -25
((36 + 6x) + x(6 + x)) = -25
(36 + 6x + (6 * x + x * x)) = -25
(36 + 6x + (6x + x2)) = -25

Combine like terms: 6x + 6x = 12x
(36 + 12x + x2) = -25

Solving
36 + 12x + x2 = -25

Solving for variable 'x'.

Reorder the terms:
36 + 25 + 12x + x2 = -25 + 25

Combine like terms: 36 + 25 = 61
61 + 12x + x2 = -25 + 25

Combine like terms: -25 + 25 = 0
61 + 12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-61' to each side of the equation.
61 + 12x + -61 + x2 = 0 + -61

Reorder the terms:
61 + -61 + 12x + x2 = 0 + -61

Combine like terms: 61 + -61 = 0
0 + 12x + x2 = 0 + -61
12x + x2 = 0 + -61

Combine like terms: 0 + -61 = -61
12x + x2 = -61

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 = -61 + 36

Reorder the terms:
36 + 12x + x2 = -61 + 36

Combine like terms: -61 + 36 = -25
36 + 12x + x2 = -25

Factor a perfect square on the left side:
(x + 6)(x + 6) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.