(x+8)(x+5)=-12

Solution for (x+8)(x+5)=-12 equation:

Simplifying
(x + 8)(x + 5) = -12

Reorder the terms:
(8 + x)(x + 5) = -12

Reorder the terms:
(8 + x)(5 + x) = -12

Multiply (8 + x) * (5 + x)
(8(5 + x) + x(5 + x)) = -12
((5 * 8 + x * 8) + x(5 + x)) = -12
((40 + 8x) + x(5 + x)) = -12
(40 + 8x + (5 * x + x * x)) = -12
(40 + 8x + (5x + x2)) = -12

Combine like terms: 8x + 5x = 13x
(40 + 13x + x2) = -12

Solving
40 + 13x + x2 = -12

Solving for variable 'x'.

Reorder the terms:
40 + 12 + 13x + x2 = -12 + 12

Combine like terms: 40 + 12 = 52
52 + 13x + x2 = -12 + 12

Combine like terms: -12 + 12 = 0
52 + 13x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-52' to each side of the equation.
52 + 13x + -52 + x2 = 0 + -52

Reorder the terms:
52 + -52 + 13x + x2 = 0 + -52

Combine like terms: 52 + -52 = 0
0 + 13x + x2 = 0 + -52
13x + x2 = 0 + -52

Combine like terms: 0 + -52 = -52
13x + x2 = -52

The x term is 13x.  Take half its coefficient (6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
13x + 42.25 + x2 = -52 + 42.25

Reorder the terms:
42.25 + 13x + x2 = -52 + 42.25

Combine like terms: -52 + 42.25 = -9.75
42.25 + 13x + x2 = -9.75

Factor a perfect square on the left side:
(x + 6.5)(x + 6.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.