3221.56997094199+-183.507150243531x+-203.896833603923x^2=2.32035988587977x+5.15635530195505x^2

Solution for 3221.56997094199+-183.507150243531x+-203.896833603923x^2=2.32035988587977x+5.15635530195505x^2 equation:

Simplifying
3221.56997094199 + -183.507150243531x + -203.896833603923x2 = 2.32035988587977x + 5.15635530195505x2

Solving
3221.56997094199 + -183.507150243531x + -203.896833603923x2 = 2.32035988587977x + 5.15635530195505x2

Solving for variable 'x'.

Reorder the terms:
3221.56997094199 + -183.507150243531x + -2.32035988587977x + -203.896833603923x2 + -5.15635530195505x2 = 2.32035988587977x + 5.15635530195505x2 + -2.32035988587977x + -5.15635530195505x2

Combine like terms: -183.507150243531x + -2.32035988587977x = -185.82751012941077x
3221.56997094199 + -185.82751012941077x + -203.896833603923x2 + -5.15635530195505x2 = 2.32035988587977x + 5.15635530195505x2 + -2.32035988587977x + -5.15635530195505x2

Combine like terms: -203.896833603923x2 + -5.15635530195505x2 = -209.05318890587805x2
3221.56997094199 + -185.82751012941077x + -209.05318890587805x2 = 2.32035988587977x + 5.15635530195505x2 + -2.32035988587977x + -5.15635530195505x2

Reorder the terms:
3221.56997094199 + -185.82751012941077x + -209.05318890587805x2 = 2.32035988587977x + -2.32035988587977x + 5.15635530195505x2 + -5.15635530195505x2

Combine like terms: 2.32035988587977x + -2.32035988587977x = 0.00000000000000
3221.56997094199 + -185.82751012941077x + -209.05318890587805x2 = 0.00000000000000 + 5.15635530195505x2 + -5.15635530195505x2
3221.56997094199 + -185.82751012941077x + -209.05318890587805x2 = 5.15635530195505x2 + -5.15635530195505x2

Combine like terms: 5.15635530195505x2 + -5.15635530195505x2 = 0.00000000000000
3221.56997094199 + -185.82751012941077x + -209.05318890587805x2 = 0.00000000000000

Begin completing the square.  Divide all terms by
-209.05318890587805 the coefficient of the squared term: 

Divide each side by '-209.05318890587805'.
-15.41028859 + 0.8889006243x + x2 = 0

Move the constant term to the right:

Add '15.41028859' to each side of the equation.
-15.41028859 + 0.8889006243x + 15.41028859 + x2 = 0 + 15.41028859

Reorder the terms:
-15.41028859 + 15.41028859 + 0.8889006243x + x2 = 0 + 15.41028859

Combine like terms: -15.41028859 + 15.41028859 = 0.00000000
0.00000000 + 0.8889006243x + x2 = 0 + 15.41028859
0.8889006243x + x2 = 0 + 15.41028859

Combine like terms: 0 + 15.41028859 = 15.41028859
0.8889006243x + x2 = 15.41028859

The x term is 0.8889006243x.  Take half its coefficient (0.4444503122).
Square it (0.1975360800) and add it to both sides.

Add '0.1975360800' to each side of the equation.
0.8889006243x + 0.1975360800 + x2 = 15.41028859 + 0.1975360800

Reorder the terms:
0.1975360800 + 0.8889006243x + x2 = 15.41028859 + 0.1975360800

Combine like terms: 15.41028859 + 0.1975360800 = 15.60782467
0.1975360800 + 0.8889006243x + x2 = 15.60782467

Factor a perfect square on the left side:
(x + 0.4444503122)(x + 0.4444503122) = 15.60782467

Calculate the square root of the right side: 3.950673951

Break this problem into two subproblems by setting 
(x + 0.4444503122) equal to 3.950673951 and -3.950673951.

Subproblem 1
x + 0.4444503122 = 3.950673951

Simplifying
x + 0.4444503122 = 3.950673951

Reorder the terms:
0.4444503122 + x = 3.950673951

Solving
0.4444503122 + x = 3.950673951

Solving for variable 'x'.

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

Add '-0.4444503122' to each side of the equation.
0.4444503122 + -0.4444503122 + x = 3.950673951 + -0.4444503122

Combine like terms: 0.4444503122 + -0.4444503122 = 0.0000000000
0.0000000000 + x = 3.950673951 + -0.4444503122
x = 3.950673951 + -0.4444503122

Combine like terms: 3.950673951 + -0.4444503122 = 3.5062236388
x = 3.5062236388

Simplifying
x = 3.5062236388

Subproblem 2
x + 0.4444503122 = -3.950673951

Simplifying
x + 0.4444503122 = -3.950673951

Reorder the terms:
0.4444503122 + x = -3.950673951

Solving
0.4444503122 + x = -3.950673951

Solving for variable 'x'.

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

Add '-0.4444503122' to each side of the equation.
0.4444503122 + -0.4444503122 + x = -3.950673951 + -0.4444503122

Combine like terms: 0.4444503122 + -0.4444503122 = 0.0000000000
0.0000000000 + x = -3.950673951 + -0.4444503122
x = -3.950673951 + -0.4444503122

Combine like terms: -3.950673951 + -0.4444503122 = -4.3951242632
x = -4.3951242632

Simplifying
x = -4.3951242632

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.5062236388, -4.3951242632}