x^2+2600000x-6864=0

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Solution for x^2+2600000x-6864=0 equation:


Simplifying
x2 + 2600000x + -6864 = 0

Reorder the terms:
-6864 + 2600000x + x2 = 0

Solving
-6864 + 2600000x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '6864' to each side of the equation.
-6864 + 2600000x + 6864 + x2 = 0 + 6864

Reorder the terms:
-6864 + 6864 + 2600000x + x2 = 0 + 6864

Combine like terms: -6864 + 6864 = 0
0 + 2600000x + x2 = 0 + 6864
2600000x + x2 = 0 + 6864

Combine like terms: 0 + 6864 = 6864
2600000x + x2 = 6864

The x term is 2600000x.  Take half its coefficient (1300000).
Square it (1690000000000) and add it to both sides.

Add '1690000000000' to each side of the equation.
2600000x + 1690000000000 + x2 = 6864 + 1690000000000

Reorder the terms:
1690000000000 + 2600000x + x2 = 6864 + 1690000000000

Combine like terms: 6864 + 1690000000000 = 1690000006864
1690000000000 + 2600000x + x2 = 1690000006864

Factor a perfect square on the left side:
(x + 1300000)(x + 1300000) = 1690000006864

Calculate the square root of the right side: 1300000.00264

Break this problem into two subproblems by setting 
(x + 1300000) equal to 1300000.00264 and -1300000.00264.


Subproblem 1
x + 1300000 = 1300000.00264

Simplifying
x + 1300000 = 1300000.00264

Reorder the terms:
1300000 + x = 1300000.00264

Solving
1300000 + x = 1300000.00264

Solving for variable 'x'.

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

Add '-1300000' to each side of the equation.
1300000 + -1300000 + x = 1300000.00264 + -1300000

Combine like terms: 1300000 + -1300000 = 0
0 + x = 1300000.00264 + -1300000
x = 1300000.00264 + -1300000

Combine like terms: 1300000.00264 + -1300000 = 0.00264
x = 0.00264

Simplifying
x = 0.00264


Subproblem 2
x + 1300000 = -1300000.00264

Simplifying
x + 1300000 = -1300000.00264

Reorder the terms:
1300000 + x = -1300000.00264

Solving
1300000 + x = -1300000.00264

Solving for variable 'x'.

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

Add '-1300000' to each side of the equation.
1300000 + -1300000 + x = -1300000.00264 + -1300000

Combine like terms: 1300000 + -1300000 = 0
0 + x = -1300000.00264 + -1300000
x = -1300000.00264 + -1300000

Combine like terms: -1300000.00264 + -1300000 = -2600000.00264
x = -2600000.00264

Simplifying
x = -2600000.00264


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.00264, -2600000.00264}

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