x^2+12x+33=-6

Solution for x^2+12x+33=-6 equation:

Simplifying
x2 + 12x + 33 = -6

Reorder the terms:
33 + 12x + x2 = -6

Solving
33 + 12x + x2 = -6

Solving for variable 'x'.

Reorder the terms:
33 + 6 + 12x + x2 = -6 + 6

Combine like terms: 33 + 6 = 39
39 + 12x + x2 = -6 + 6

Combine like terms: -6 + 6 = 0
39 + 12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-39' to each side of the equation.
39 + 12x + -39 + x2 = 0 + -39

Reorder the terms:
39 + -39 + 12x + x2 = 0 + -39

Combine like terms: 39 + -39 = 0
0 + 12x + x2 = 0 + -39
12x + x2 = 0 + -39

Combine like terms: 0 + -39 = -39
12x + x2 = -39

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 = -39 + 36

Reorder the terms:
36 + 12x + x2 = -39 + 36

Combine like terms: -39 + 36 = -3
36 + 12x + x2 = -3

Factor a perfect square on the left side:
(x + 6)(x + 6) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.