0=x^2+18x+82

Solution for 0=x^2+18x+82 equation:

Simplifying
0 = x2 + 18x + 82

Reorder the terms:
0 = 82 + 18x + x2

Solving
0 = 82 + 18x + x2

Solving for variable 'x'.

Combine like terms: 0 + -82 = -82
-82 + -18x + -1x2 = 82 + 18x + x2 + -82 + -18x + -1x2

Reorder the terms:
-82 + -18x + -1x2 = 82 + -82 + 18x + -18x + x2 + -1x2

Combine like terms: 82 + -82 = 0
-82 + -18x + -1x2 = 0 + 18x + -18x + x2 + -1x2
-82 + -18x + -1x2 = 18x + -18x + x2 + -1x2

Combine like terms: 18x + -18x = 0
-82 + -18x + -1x2 = 0 + x2 + -1x2
-82 + -18x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-82 + -18x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(82 + 18x + x2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(82 + 18x + x2)' equal to zero and attempt to solve:

Simplifying
82 + 18x + x2 = 0

Solving
82 + 18x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-82' to each side of the equation.
82 + 18x + -82 + x2 = 0 + -82

Reorder the terms:
82 + -82 + 18x + x2 = 0 + -82

Combine like terms: 82 + -82 = 0
0 + 18x + x2 = 0 + -82
18x + x2 = 0 + -82

Combine like terms: 0 + -82 = -82
18x + x2 = -82

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 = -82 + 81

Reorder the terms:
81 + 18x + x2 = -82 + 81

Combine like terms: -82 + 81 = -1
81 + 18x + x2 = -1

Factor a perfect square on the left side:
(x + 9)(x + 9) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.