x^2+2x+83=0

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

Simplifying
x2 + 2x + 83 = 0

Reorder the terms:
83 + 2x + x2 = 0

Solving
83 + 2x + 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 + 2x + -83 + x2 = 0 + -83

Reorder the terms:
83 + -83 + 2x + x2 = 0 + -83

Combine like terms: 83 + -83 = 0
0 + 2x + x2 = 0 + -83
2x + x2 = 0 + -83

Combine like terms: 0 + -83 = -83
2x + x2 = -83

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -83 + 1

Reorder the terms:
1 + 2x + x2 = -83 + 1

Combine like terms: -83 + 1 = -82
1 + 2x + x2 = -82

Factor a perfect square on the left side:
(x + 1)(x + 1) = -82

Can't calculate square root of the right side.

The solution to this equation could not be determined.