-80-18x+x^2=0

Solution for -80-18x+x^2=0 equation:

Simplifying
-80 + -18x + x2 = 0

Solving
-80 + -18x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '80' to each side of the equation.
-80 + -18x + 80 + x2 = 0 + 80

Reorder the terms:
-80 + 80 + -18x + x2 = 0 + 80

Combine like terms: -80 + 80 = 0
0 + -18x + x2 = 0 + 80
-18x + x2 = 0 + 80

Combine like terms: 0 + 80 = 80
-18x + x2 = 80

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 = 80 + 81

Reorder the terms:
81 + -18x + x2 = 80 + 81

Combine like terms: 80 + 81 = 161
81 + -18x + x2 = 161

Factor a perfect square on the left side:
(x + -9)(x + -9) = 161

Calculate the square root of the right side: 12.68857754

Break this problem into two subproblems by setting 
(x + -9) equal to 12.68857754 and -12.68857754.

Subproblem 1
x + -9 = 12.68857754

Simplifying
x + -9 = 12.68857754

Reorder the terms:
-9 + x = 12.68857754

Solving
-9 + x = 12.68857754

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + x = 12.68857754 + 9

Combine like terms: -9 + 9 = 0
0 + x = 12.68857754 + 9
x = 12.68857754 + 9

Combine like terms: 12.68857754 + 9 = 21.68857754
x = 21.68857754

Simplifying
x = 21.68857754

Subproblem 2
x + -9 = -12.68857754

Simplifying
x + -9 = -12.68857754

Reorder the terms:
-9 + x = -12.68857754

Solving
-9 + x = -12.68857754

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + x = -12.68857754 + 9

Combine like terms: -9 + 9 = 0
0 + x = -12.68857754 + 9
x = -12.68857754 + 9

Combine like terms: -12.68857754 + 9 = -3.68857754
x = -3.68857754

Simplifying
x = -3.68857754

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {21.68857754, -3.68857754}