x^2+18x+83=0

Solution for x^2+18x+83=0 equation:

Simplifying
x2 + 18x + 83 = 0

Reorder the terms:
83 + 18x + x2 = 0

Solving
83 + 18x + 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 + 18x + -83 + x2 = 0 + -83

Reorder the terms:
83 + -83 + 18x + x2 = 0 + -83

Combine like terms: 83 + -83 = 0
0 + 18x + x2 = 0 + -83
18x + x2 = 0 + -83

Combine like terms: 0 + -83 = -83
18x + x2 = -83

The x term is 18x.  Take half its coefficient (9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
18x + 81 + x2 = -83 + 81

Reorder the terms:
81 + 18x + x2 = -83 + 81

Combine like terms: -83 + 81 = -2
81 + 18x + x2 = -2

Factor a perfect square on the left side:
(x + 9)(x + 9) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.