(x+5)(x+5)=-64

Solution for (x+5)(x+5)=-64 equation:

Simplifying
(x + 5)(x + 5) = -64

Reorder the terms:
(5 + x)(x + 5) = -64

Reorder the terms:
(5 + x)(5 + x) = -64

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) = -64
((5 * 5 + x * 5) + x(5 + x)) = -64
((25 + 5x) + x(5 + x)) = -64
(25 + 5x + (5 * x + x * x)) = -64
(25 + 5x + (5x + x2)) = -64

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) = -64

Solving
25 + 10x + x2 = -64

Solving for variable 'x'.

Reorder the terms:
25 + 64 + 10x + x2 = -64 + 64

Combine like terms: 25 + 64 = 89
89 + 10x + x2 = -64 + 64

Combine like terms: -64 + 64 = 0
89 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-89' to each side of the equation.
89 + 10x + -89 + x2 = 0 + -89

Reorder the terms:
89 + -89 + 10x + x2 = 0 + -89

Combine like terms: 89 + -89 = 0
0 + 10x + x2 = 0 + -89
10x + x2 = 0 + -89

Combine like terms: 0 + -89 = -89
10x + x2 = -89

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -89 + 25

Reorder the terms:
25 + 10x + x2 = -89 + 25

Combine like terms: -89 + 25 = -64
25 + 10x + x2 = -64

Factor a perfect square on the left side:
(x + 5)(x + 5) = -64

Can't calculate square root of the right side.

The solution to this equation could not be determined.