x^2+12x=-72

Solution for x^2+12x=-72 equation:

Simplifying
x2 + 12x = -72

Reorder the terms:
12x + x2 = -72

Solving
12x + x2 = -72

Solving for variable 'x'.

Reorder the terms:
72 + 12x + x2 = -72 + 72

Combine like terms: -72 + 72 = 0
72 + 12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + 12x + -72 + x2 = 0 + -72

Reorder the terms:
72 + -72 + 12x + x2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + 12x + x2 = 0 + -72
12x + x2 = 0 + -72

Combine like terms: 0 + -72 = -72
12x + x2 = -72

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 = -72 + 36

Reorder the terms:
36 + 12x + x2 = -72 + 36

Combine like terms: -72 + 36 = -36
36 + 12x + x2 = -36

Factor a perfect square on the left side:
(x + 6)(x + 6) = -36

Can't calculate square root of the right side.

The solution to this equation could not be determined.