x^2-39.671192x=443.432625675216

Solution for x^2-39.671192x=443.432625675216 equation:

Simplifying
x2 + -39.671192x = 443.432625675216

Reorder the terms:
-39.671192x + x2 = 443.432625675216

Solving
-39.671192x + x2 = 443.432625675216

Solving for variable 'x'.

Reorder the terms:
-443.432625675216 + -39.671192x + x2 = 443.432625675216 + -443.432625675216

Combine like terms: 443.432625675216 + -443.432625675216 = 0.000000000000
-443.432625675216 + -39.671192x + x2 = 0.000000000000

Begin completing the square.

Move the constant term to the right:

Add '443.432625675216' to each side of the equation.
-443.432625675216 + -39.671192x + 443.432625675216 + x2 = 0.000000000000 + 443.432625675216

Reorder the terms:
-443.432625675216 + 443.432625675216 + -39.671192x + x2 = 0.000000000000 + 443.432625675216

Combine like terms: -443.432625675216 + 443.432625675216 = 0.000000000000
0.000000000000 + -39.671192x + x2 = 0.000000000000 + 443.432625675216
-39.671192x + x2 = 0.000000000000 + 443.432625675216

Combine like terms: 0.000000000000 + 443.432625675216 = 443.432625675216
-39.671192x + x2 = 443.432625675216

The x term is -39.671192x.  Take half its coefficient (-19.835596).
Square it (393.4508687) and add it to both sides.

Add '393.4508687' to each side of the equation.
-39.671192x + 393.4508687 + x2 = 443.432625675216 + 393.4508687

Reorder the terms:
393.4508687 + -39.671192x + x2 = 443.432625675216 + 393.4508687

Combine like terms: 443.432625675216 + 393.4508687 = 836.883494375216
393.4508687 + -39.671192x + x2 = 836.883494375216

Factor a perfect square on the left side:
(x + -19.835596)(x + -19.835596) = 836.883494375216

Calculate the square root of the right side: 28.928938701

Break this problem into two subproblems by setting 
(x + -19.835596) equal to 28.928938701 and -28.928938701.

Subproblem 1
x + -19.835596 = 28.928938701

Simplifying
x + -19.835596 = 28.928938701

Reorder the terms:
-19.835596 + x = 28.928938701

Solving
-19.835596 + x = 28.928938701

Solving for variable 'x'.

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

Add '19.835596' to each side of the equation.
-19.835596 + 19.835596 + x = 28.928938701 + 19.835596

Combine like terms: -19.835596 + 19.835596 = 0.000000
0.000000 + x = 28.928938701 + 19.835596
x = 28.928938701 + 19.835596

Combine like terms: 28.928938701 + 19.835596 = 48.764534701
x = 48.764534701

Simplifying
x = 48.764534701

Subproblem 2
x + -19.835596 = -28.928938701

Simplifying
x + -19.835596 = -28.928938701

Reorder the terms:
-19.835596 + x = -28.928938701

Solving
-19.835596 + x = -28.928938701

Solving for variable 'x'.

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

Add '19.835596' to each side of the equation.
-19.835596 + 19.835596 + x = -28.928938701 + 19.835596

Combine like terms: -19.835596 + 19.835596 = 0.000000
0.000000 + x = -28.928938701 + 19.835596
x = -28.928938701 + 19.835596

Combine like terms: -28.928938701 + 19.835596 = -9.093342701
x = -9.093342701

Simplifying
x = -9.093342701

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {48.764534701, -9.093342701}