x^2+12x+83=0

Solution for x^2+12x+83=0 equation:

Simplifying
x2 + 12x + 83 = 0

Reorder the terms:
83 + 12x + x2 = 0

Solving
83 + 12x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-83' to each side of the equation.
83 + 12x + -83 + x2 = 0 + -83

Reorder the terms:
83 + -83 + 12x + x2 = 0 + -83

Combine like terms: 83 + -83 = 0
0 + 12x + x2 = 0 + -83
12x + x2 = 0 + -83

Combine like terms: 0 + -83 = -83
12x + x2 = -83

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 = -83 + 36

Reorder the terms:
36 + 12x + x2 = -83 + 36

Combine like terms: -83 + 36 = -47
36 + 12x + x2 = -47

Factor a perfect square on the left side:
(x + 6)(x + 6) = -47

Can't calculate square root of the right side.

The solution to this equation could not be determined.