x^2+x-4294967295=0

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Solution for x^2+x-4294967295=0 equation:


Simplifying
x2 + x + -4294967295 = 0

Reorder the terms:
-4294967295 + x + x2 = 0

Solving
-4294967295 + x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '4294967295' to each side of the equation.
-4294967295 + x + 4294967295 + x2 = 0 + 4294967295

Reorder the terms:
-4294967295 + 4294967295 + x + x2 = 0 + 4294967295

Combine like terms: -4294967295 + 4294967295 = 0
0 + x + x2 = 0 + 4294967295
x + x2 = 0 + 4294967295

Combine like terms: 0 + 4294967295 = 4294967295
x + x2 = 4294967295

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 = 4294967295 + 0.25

Reorder the terms:
0.25 + x + x2 = 4294967295 + 0.25

Combine like terms: 4294967295 + 0.25 = 4294967295.25
0.25 + x + x2 = 4294967295.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 4294967295.25

Calculate the square root of the right side: 65535.999994278

Break this problem into two subproblems by setting 
(x + 0.5) equal to 65535.999994278 and -65535.999994278.

Subproblem 1

x + 0.5 = 65535.999994278 Simplifying x + 0.5 = 65535.999994278 Reorder the terms: 0.5 + x = 65535.999994278 Solving 0.5 + x = 65535.999994278 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 = 65535.999994278 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 65535.999994278 + -0.5 x = 65535.999994278 + -0.5 Combine like terms: 65535.999994278 + -0.5 = 65535.499994278 x = 65535.499994278 Simplifying x = 65535.499994278

Subproblem 2

x + 0.5 = -65535.999994278 Simplifying x + 0.5 = -65535.999994278 Reorder the terms: 0.5 + x = -65535.999994278 Solving 0.5 + x = -65535.999994278 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 = -65535.999994278 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -65535.999994278 + -0.5 x = -65535.999994278 + -0.5 Combine like terms: -65535.999994278 + -0.5 = -65536.499994278 x = -65536.499994278 Simplifying x = -65536.499994278

Solution

The solution to the problem is based on the solutions from the subproblems. x = {65535.499994278, -65536.499994278}

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