x+x^2-2222222=-0.0000000000000000000000000000000000001

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Solution for x+x^2-2222222=-0.0000000000000000000000000000000000001 equation:


Simplifying
x + x2 + -2222222 = -0.0000000000000000000000000000000000001

Reorder the terms:
-2222222 + x + x2 = -0.0000000000000000000000000000000000001

Solving
-2222222 + x + x2 = -0.0000000000000000000000000000000000001

Solving for variable 'x'.

Reorder the terms:
-2222222 + 0.0000000000000000000000000000000000001 + x + x2 = -0.0000000000000000000000000000000000001 + 0.0000000000000000000000000000000000001

Combine like terms: -2222222 + 0.0000000000000000000000000000000000001 = -2222221.9999999999999999999999999999999999999
-2222221.9999999999999999999999999999999999999 + x + x2 = -0.0000000000000000000000000000000000001 + 0.0000000000000000000000000000000000001

Combine like terms: -0.0000000000000000000000000000000000001 + 0.0000000000000000000000000000000000001 = 0.0000000000000000000000000000000000000
-2222221.9999999999999999999999999999999999999 + x + x2 = 0.0000000000000000000000000000000000000

Begin completing the square.

Move the constant term to the right:

Add '2222221.9999999999999999999999999999999999999' to each side of the equation.
-2222221.9999999999999999999999999999999999999 + x + 2222221.9999999999999999999999999999999999999 + x2 = 0.0000000000000000000000000000000000000 + 2222221.9999999999999999999999999999999999999

Reorder the terms:
-2222221.9999999999999999999999999999999999999 + 2222221.9999999999999999999999999999999999999 + x + x2 = 0.0000000000000000000000000000000000000 + 2222221.9999999999999999999999999999999999999

Combine like terms: -2222221.9999999999999999999999999999999999999 + 2222221.9999999999999999999999999999999999999 = 0.0000000000000000000000000000000000000
0.0000000000000000000000000000000000000 + x + x2 = 0.0000000000000000000000000000000000000 + 2222221.9999999999999999999999999999999999999
x + x2 = 0.0000000000000000000000000000000000000 + 2222221.9999999999999999999999999999999999999

Combine like terms: 0.0000000000000000000000000000000000000 + 2222221.9999999999999999999999999999999999999 = 2222221.9999999999999999999999999999999999999
x + x2 = 2222221.9999999999999999999999999999999999999

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = 2222221.9999999999999999999999999999999999999 + 0.25

Reorder the terms:
0.25 + x + x2 = 2222221.9999999999999999999999999999999999999 + 0.25

Combine like terms: 2222221.9999999999999999999999999999999999999 + 0.25 = 2222222.2499999999999999999999999999999999999
0.25 + x + x2 = 2222222.2499999999999999999999999999999999999

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 2222222.2499999999999999999999999999999999999

Calculate the square root of the right side: 1490.711994317

Break this problem into two subproblems by setting 
(x + 0.5) equal to 1490.711994317 and -1490.711994317.


Subproblem 1
x + 0.5 = 1490.711994317

Simplifying
x + 0.5 = 1490.711994317

Reorder the terms:
0.5 + x = 1490.711994317

Solving
0.5 + x = 1490.711994317

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 1490.711994317 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 1490.711994317 + -0.5
x = 1490.711994317 + -0.5

Combine like terms: 1490.711994317 + -0.5 = 1490.211994317
x = 1490.211994317

Simplifying
x = 1490.211994317


Subproblem 2
x + 0.5 = -1490.711994317

Simplifying
x + 0.5 = -1490.711994317

Reorder the terms:
0.5 + x = -1490.711994317

Solving
0.5 + x = -1490.711994317

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -1490.711994317 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -1490.711994317 + -0.5
x = -1490.711994317 + -0.5

Combine like terms: -1490.711994317 + -0.5 = -1491.211994317
x = -1491.211994317

Simplifying
x = -1491.211994317


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1490.211994317, -1491.211994317}

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