(x*x)+0.00008x-0.000000008=0

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Solution for (x*x)+0.00008x-0.000000008=0 equation: 


Simplifying
(x * x) + 0.00008x + -0.000000008 = 0

Multiply x * x
(x2) + 0.00008x + -0.000000008 = 0
x2 + 0.00008x + -0.000000008 = 0

Reorder the terms:
-0.000000008 + 0.00008x + x2 = 0

Solving
-0.000000008 + 0.00008x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '0.000000008' to each side of the equation.
-0.000000008 + 0.00008x + 0.000000008 + x2 = 0 + 0.000000008

Reorder the terms:
-0.000000008 + 0.000000008 + 0.00008x + x2 = 0 + 0.000000008

Combine like terms: -0.000000008 + 0.000000008 = 0.000000000
0.000000000 + 0.00008x + x2 = 0 + 0.000000008
0.00008x + x2 = 0 + 0.000000008

Combine like terms: 0 + 0.000000008 = 0.000000008
0.00008x + x2 = 0.000000008

The x term is 0.00008x.  Take half its coefficient (0.00004).
Square it (0.0000000016) and add it to both sides.

Add '0.0000000016' to each side of the equation.
0.00008x + 0.0000000016 + x2 = 0.000000008 + 0.0000000016

Reorder the terms:
0.0000000016 + 0.00008x + x2 = 0.000000008 + 0.0000000016

Combine like terms: 0.000000008 + 0.0000000016 = 0.0000000096
0.0000000016 + 0.00008x + x2 = 0.0000000096

Factor a perfect square on the left side:
(x + 0.00004)(x + 0.00004) = 0.0000000096

Calculate the square root of the right side: 0.00009798

Break this problem into two subproblems by setting 
(x + 0.00004) equal to 0.00009798 and -0.00009798.


Subproblem 1
x + 0.00004 = 0.00009798

Simplifying
x + 0.00004 = 0.00009798

Reorder the terms:
0.00004 + x = 0.00009798

Solving
0.00004 + x = 0.00009798

Solving for variable 'x'.

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

Add '-0.00004' to each side of the equation.
0.00004 + -0.00004 + x = 0.00009798 + -0.00004

Combine like terms: 0.00004 + -0.00004 = 0.00000
0.00000 + x = 0.00009798 + -0.00004
x = 0.00009798 + -0.00004

Combine like terms: 0.00009798 + -0.00004 = 0.00005798
x = 0.00005798

Simplifying
x = 0.00005798


Subproblem 2
x + 0.00004 = -0.00009798

Simplifying
x + 0.00004 = -0.00009798

Reorder the terms:
0.00004 + x = -0.00009798

Solving
0.00004 + x = -0.00009798

Solving for variable 'x'.

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

Add '-0.00004' to each side of the equation.
0.00004 + -0.00004 + x = -0.00009798 + -0.00004

Combine like terms: 0.00004 + -0.00004 = 0.00000
0.00000 + x = -0.00009798 + -0.00004
x = -0.00009798 + -0.00004

Combine like terms: -0.00009798 + -0.00004 = -0.00013798
x = -0.00013798

Simplifying
x = -0.00013798


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.00005798, -0.00013798}

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