11f-(-2f+2)f=.5

Solution for 11f-(-2f+2)f=.5 equation:

Simplifying
11f + -1(-2f + 2) * f = 0.5

Reorder the terms:
11f + -1(2 + -2f) * f = 0.5

Reorder the terms for easier multiplication:
11f + -1f(2 + -2f) = 0.5
11f + (2 * -1f + -2f * -1f) = 0.5
11f + (-2f + 2f2) = 0.5

Combine like terms: 11f + -2f = 9f
9f + 2f2 = 0.5

Solving
9f + 2f2 = 0.5

Solving for variable 'f'.

Reorder the terms:
-0.5 + 9f + 2f2 = 0.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
-0.5 + 9f + 2f2 = 0.0

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

Divide each side by '2'.
-0.25 + 4.5f + f2 = 0.0

Move the constant term to the right:

Add '0.25' to each side of the equation.
-0.25 + 4.5f + 0.25 + f2 = 0.0 + 0.25

Reorder the terms:
-0.25 + 0.25 + 4.5f + f2 = 0.0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + 4.5f + f2 = 0.0 + 0.25
4.5f + f2 = 0.0 + 0.25

Combine like terms: 0.0 + 0.25 = 0.25
4.5f + f2 = 0.25

The f term is 4.5f.  Take half its coefficient (2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
4.5f + 5.0625 + f2 = 0.25 + 5.0625

Reorder the terms:
5.0625 + 4.5f + f2 = 0.25 + 5.0625

Combine like terms: 0.25 + 5.0625 = 5.3125
5.0625 + 4.5f + f2 = 5.3125

Factor a perfect square on the left side:
(f + 2.25)(f + 2.25) = 5.3125

Calculate the square root of the right side: 2.304886114

Break this problem into two subproblems by setting 
(f + 2.25) equal to 2.304886114 and -2.304886114.

Subproblem 1
f + 2.25 = 2.304886114

Simplifying
f + 2.25 = 2.304886114

Reorder the terms:
2.25 + f = 2.304886114

Solving
2.25 + f = 2.304886114

Solving for variable 'f'.

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

Add '-2.25' to each side of the equation.
2.25 + -2.25 + f = 2.304886114 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + f = 2.304886114 + -2.25
f = 2.304886114 + -2.25

Combine like terms: 2.304886114 + -2.25 = 0.054886114
f = 0.054886114

Simplifying
f = 0.054886114

Subproblem 2
f + 2.25 = -2.304886114

Simplifying
f + 2.25 = -2.304886114

Reorder the terms:
2.25 + f = -2.304886114

Solving
2.25 + f = -2.304886114

Solving for variable 'f'.

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

Add '-2.25' to each side of the equation.
2.25 + -2.25 + f = -2.304886114 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + f = -2.304886114 + -2.25
f = -2.304886114 + -2.25

Combine like terms: -2.304886114 + -2.25 = -4.554886114
f = -4.554886114

Simplifying
f = -4.554886114

Solution
The solution to the problem is based on the solutions
from the subproblems.
f = {0.054886114, -4.554886114}