x^2=0.0000334034(0.08-x)

Solution for x^2=0.0000334034(0.08-x) equation:

Simplifying
x2 = 0.0000334034(0.08 + -1x)
x2 = (0.08 * 0.0000334034 + -1x * 0.0000334034)
x2 = (0.000002672272 + -0.0000334034x)

Solving
x2 = 0.000002672272 + -0.0000334034x

Solving for variable 'x'.

Reorder the terms:
-0.000002672272 + 0.0000334034x + x2 = 0.000002672272 + -0.0000334034x + -0.000002672272 + 0.0000334034x

Reorder the terms:
-0.000002672272 + 0.0000334034x + x2 = 0.000002672272 + -0.000002672272 + -0.0000334034x + 0.0000334034x

Combine like terms: 0.000002672272 + -0.000002672272 = 0.000000000000
-0.000002672272 + 0.0000334034x + x2 = 0.000000000000 + -0.0000334034x + 0.0000334034x
-0.000002672272 + 0.0000334034x + x2 = -0.0000334034x + 0.0000334034x

Combine like terms: -0.0000334034x + 0.0000334034x = 0.0000000000
-0.000002672272 + 0.0000334034x + x2 = 0.0000000000

Begin completing the square.

Move the constant term to the right:

Add '0.000002672272' to each side of the equation.
-0.000002672272 + 0.0000334034x + 0.000002672272 + x2 = 0.0000000000 + 0.000002672272

Reorder the terms:
-0.000002672272 + 0.000002672272 + 0.0000334034x + x2 = 0.0000000000 + 0.000002672272

Combine like terms: -0.000002672272 + 0.000002672272 = 0.000000000000
0.000000000000 + 0.0000334034x + x2 = 0.0000000000 + 0.000002672272
0.0000334034x + x2 = 0.0000000000 + 0.000002672272

Combine like terms: 0.0000000000 + 0.000002672272 = 0.000002672272
0.0000334034x + x2 = 0.000002672272

The x term is 0.0000334034x.  Take half its coefficient (0.0000167017).
Square it (0.0000000002789467829) and add it to both sides.

Add '0.0000000002789467829' to each side of the equation.
0.0000334034x + 0.0000000002789467829 + x2 = 0.000002672272 + 0.0000000002789467829

Reorder the terms:
0.0000000002789467829 + 0.0000334034x + x2 = 0.000002672272 + 0.0000000002789467829

Combine like terms: 0.000002672272 + 0.0000000002789467829 = 0.0000026725509467829
0.0000000002789467829 + 0.0000334034x + x2 = 0.0000026725509467829

Factor a perfect square on the left side:
(x + 0.0000167017)(x + 0.0000167017) = 0.0000026725509467829

Calculate the square root of the right side: 0.001634794

Break this problem into two subproblems by setting 
(x + 0.0000167017) equal to 0.001634794 and -0.001634794.

Subproblem 1
x + 0.0000167017 = 0.001634794

Simplifying
x + 0.0000167017 = 0.001634794

Reorder the terms:
0.0000167017 + x = 0.001634794

Solving
0.0000167017 + x = 0.001634794

Solving for variable 'x'.

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

Add '-0.0000167017' to each side of the equation.
0.0000167017 + -0.0000167017 + x = 0.001634794 + -0.0000167017

Combine like terms: 0.0000167017 + -0.0000167017 = 0.0000000000
0.0000000000 + x = 0.001634794 + -0.0000167017
x = 0.001634794 + -0.0000167017

Combine like terms: 0.001634794 + -0.0000167017 = 0.0016180923
x = 0.0016180923

Simplifying
x = 0.0016180923

Subproblem 2
x + 0.0000167017 = -0.001634794

Simplifying
x + 0.0000167017 = -0.001634794

Reorder the terms:
0.0000167017 + x = -0.001634794

Solving
0.0000167017 + x = -0.001634794

Solving for variable 'x'.

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

Add '-0.0000167017' to each side of the equation.
0.0000167017 + -0.0000167017 + x = -0.001634794 + -0.0000167017

Combine like terms: 0.0000167017 + -0.0000167017 = 0.0000000000
0.0000000000 + x = -0.001634794 + -0.0000167017
x = -0.001634794 + -0.0000167017

Combine like terms: -0.001634794 + -0.0000167017 = -0.0016514957
x = -0.0016514957

Simplifying
x = -0.0016514957

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.0016180923, -0.0016514957}