f*(2-f)=0.00335570469798658

Solution for f*(2-f)=0.00335570469798658 equation:

Simplifying
f(2 + -1f) = 0.00335570469798658
(2 * f + -1f * f) = 0.00335570469798658
(2f + -1f2) = 0.00335570469798658

Solving
2f + -1f2 = 0.00335570469798658

Solving for variable 'f'.

Reorder the terms:
-0.00335570469798658 + 2f + -1f2 = 0.00335570469798658 + -0.00335570469798658

Combine like terms: 0.00335570469798658 + -0.00335570469798658 = 0.00000000000000000
-0.00335570469798658 + 2f + -1f2 = 0.00000000000000000

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
0.003355704698 + -2f + f2 = 0.00000000000000000

Move the constant term to the right:

Add '-0.003355704698' to each side of the equation.
0.003355704698 + -2f + -0.003355704698 + f2 = 0.00000000000000000 + -0.003355704698

Reorder the terms:
0.003355704698 + -0.003355704698 + -2f + f2 = 0.00000000000000000 + -0.003355704698

Combine like terms: 0.003355704698 + -0.003355704698 = 0.000000000000
0.000000000000 + -2f + f2 = 0.00000000000000000 + -0.003355704698
-2f + f2 = 0.00000000000000000 + -0.003355704698

Combine like terms: 0.00000000000000000 + -0.003355704698 = -0.003355704698
-2f + f2 = -0.003355704698

The f term is -2f.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2f + 1 + f2 = -0.003355704698 + 1

Reorder the terms:
1 + -2f + f2 = -0.003355704698 + 1

Combine like terms: -0.003355704698 + 1 = 0.996644295302
1 + -2f + f2 = 0.996644295302

Factor a perfect square on the left side:
(f + -1)(f + -1) = 0.996644295302

Calculate the square root of the right side: 0.998320738

Break this problem into two subproblems by setting 
(f + -1) equal to 0.998320738 and -0.998320738.

Subproblem 1
f + -1 = 0.998320738

Simplifying
f + -1 = 0.998320738

Reorder the terms:
-1 + f = 0.998320738

Solving
-1 + f = 0.998320738

Solving for variable 'f'.

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

Add '1' to each side of the equation.
-1 + 1 + f = 0.998320738 + 1

Combine like terms: -1 + 1 = 0
0 + f = 0.998320738 + 1
f = 0.998320738 + 1

Combine like terms: 0.998320738 + 1 = 1.998320738
f = 1.998320738

Simplifying
f = 1.998320738

Subproblem 2
f + -1 = -0.998320738

Simplifying
f + -1 = -0.998320738

Reorder the terms:
-1 + f = -0.998320738

Solving
-1 + f = -0.998320738

Solving for variable 'f'.

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

Add '1' to each side of the equation.
-1 + 1 + f = -0.998320738 + 1

Combine like terms: -1 + 1 = 0
0 + f = -0.998320738 + 1
f = -0.998320738 + 1

Combine like terms: -0.998320738 + 1 = 0.001679262
f = 0.001679262

Simplifying
f = 0.001679262

Solution
The solution to the problem is based on the solutions
from the subproblems.
f = {1.998320738, 0.001679262}