0=(.009x^2-.08x+.16)

Solution for 0=(.009x^2-.08x+.16) equation:

Simplifying
0 = (0.009x2 + -0.08x + 0.16)

Reorder the terms:
0 = (0.16 + -0.08x + 0.009x2)

Remove parenthesis around (0.16 + -0.08x + 0.009x2)
0 = 0.16 + -0.08x + 0.009x2

Solving
0 = 0.16 + -0.08x + 0.009x2

Solving for variable 'x'.

Combine like terms: 0 + -0.16 = -0.16
-0.16 + 0.08x + -0.009x2 = 0.16 + -0.08x + 0.009x2 + -0.16 + 0.08x + -0.009x2

Reorder the terms:
-0.16 + 0.08x + -0.009x2 = 0.16 + -0.16 + -0.08x + 0.08x + 0.009x2 + -0.009x2

Combine like terms: 0.16 + -0.16 = 0.00
-0.16 + 0.08x + -0.009x2 = 0.00 + -0.08x + 0.08x + 0.009x2 + -0.009x2
-0.16 + 0.08x + -0.009x2 = -0.08x + 0.08x + 0.009x2 + -0.009x2

Combine like terms: -0.08x + 0.08x = 0.00
-0.16 + 0.08x + -0.009x2 = 0.00 + 0.009x2 + -0.009x2
-0.16 + 0.08x + -0.009x2 = 0.009x2 + -0.009x2

Combine like terms: 0.009x2 + -0.009x2 = 0.000
-0.16 + 0.08x + -0.009x2 = 0.000

Begin completing the square.  Divide all terms by
-0.009 the coefficient of the squared term: 

Divide each side by '-0.009'.
17.77777778 + -8.888888889x + x2 = 0

Move the constant term to the right:

Add '-17.77777778' to each side of the equation.
17.77777778 + -8.888888889x + -17.77777778 + x2 = 0 + -17.77777778

Reorder the terms:
17.77777778 + -17.77777778 + -8.888888889x + x2 = 0 + -17.77777778

Combine like terms: 17.77777778 + -17.77777778 = 0.00000000
0.00000000 + -8.888888889x + x2 = 0 + -17.77777778
-8.888888889x + x2 = 0 + -17.77777778

Combine like terms: 0 + -17.77777778 = -17.77777778
-8.888888889x + x2 = -17.77777778

The x term is -8.888888889x.  Take half its coefficient (-4.444444445).
Square it (19.75308642) and add it to both sides.

Add '19.75308642' to each side of the equation.
-8.888888889x + 19.75308642 + x2 = -17.77777778 + 19.75308642

Reorder the terms:
19.75308642 + -8.888888889x + x2 = -17.77777778 + 19.75308642

Combine like terms: -17.77777778 + 19.75308642 = 1.97530864
19.75308642 + -8.888888889x + x2 = 1.97530864

Factor a perfect square on the left side:
(x + -4.444444445)(x + -4.444444445) = 1.97530864

Calculate the square root of the right side: 1.405456737

Break this problem into two subproblems by setting 
(x + -4.444444445) equal to 1.405456737 and -1.405456737.

Subproblem 1
x + -4.444444445 = 1.405456737

Simplifying
x + -4.444444445 = 1.405456737

Reorder the terms:
-4.444444445 + x = 1.405456737

Solving
-4.444444445 + x = 1.405456737

Solving for variable 'x'.

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

Add '4.444444445' to each side of the equation.
-4.444444445 + 4.444444445 + x = 1.405456737 + 4.444444445

Combine like terms: -4.444444445 + 4.444444445 = 0.000000000
0.000000000 + x = 1.405456737 + 4.444444445
x = 1.405456737 + 4.444444445

Combine like terms: 1.405456737 + 4.444444445 = 5.849901182
x = 5.849901182

Simplifying
x = 5.849901182

Subproblem 2
x + -4.444444445 = -1.405456737

Simplifying
x + -4.444444445 = -1.405456737

Reorder the terms:
-4.444444445 + x = -1.405456737

Solving
-4.444444445 + x = -1.405456737

Solving for variable 'x'.

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

Add '4.444444445' to each side of the equation.
-4.444444445 + 4.444444445 + x = -1.405456737 + 4.444444445

Combine like terms: -4.444444445 + 4.444444445 = 0.000000000
0.000000000 + x = -1.405456737 + 4.444444445
x = -1.405456737 + 4.444444445

Combine like terms: -1.405456737 + 4.444444445 = 3.038987708
x = 3.038987708

Simplifying
x = 3.038987708

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.849901182, 3.038987708}