2(4-B)=2-B(B-6)

Solution for 2(4-B)=2-B(B-6) equation:

Simplifying
2(4 + -1B) = 2 + -1B(B + -6)
(4 * 2 + -1B * 2) = 2 + -1B(B + -6)
(8 + -2B) = 2 + -1B(B + -6)

Reorder the terms:
8 + -2B = 2 + -1B(-6 + B)
8 + -2B = 2 + (-6 * -1B + B * -1B)
8 + -2B = 2 + (6B + -1B2)

Solving
8 + -2B = 2 + 6B + -1B2

Solving for variable 'B'.

Reorder the terms:
8 + -2 + -2B + -6B + B2 = 2 + 6B + -1B2 + -2 + -6B + B2

Combine like terms: 8 + -2 = 6
6 + -2B + -6B + B2 = 2 + 6B + -1B2 + -2 + -6B + B2

Combine like terms: -2B + -6B = -8B
6 + -8B + B2 = 2 + 6B + -1B2 + -2 + -6B + B2

Reorder the terms:
6 + -8B + B2 = 2 + -2 + 6B + -6B + -1B2 + B2

Combine like terms: 2 + -2 = 0
6 + -8B + B2 = 0 + 6B + -6B + -1B2 + B2
6 + -8B + B2 = 6B + -6B + -1B2 + B2

Combine like terms: 6B + -6B = 0
6 + -8B + B2 = 0 + -1B2 + B2
6 + -8B + B2 = -1B2 + B2

Combine like terms: -1B2 + B2 = 0
6 + -8B + B2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -8B + -6 + B2 = 0 + -6

Reorder the terms:
6 + -6 + -8B + B2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -8B + B2 = 0 + -6
-8B + B2 = 0 + -6

Combine like terms: 0 + -6 = -6
-8B + B2 = -6

The B term is -8B.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8B + 16 + B2 = -6 + 16

Reorder the terms:
16 + -8B + B2 = -6 + 16

Combine like terms: -6 + 16 = 10
16 + -8B + B2 = 10

Factor a perfect square on the left side:
(B + -4)(B + -4) = 10

Calculate the square root of the right side: 3.16227766

Break this problem into two subproblems by setting 
(B + -4) equal to 3.16227766 and -3.16227766.

Subproblem 1
B + -4 = 3.16227766

Simplifying
B + -4 = 3.16227766

Reorder the terms:
-4 + B = 3.16227766

Solving
-4 + B = 3.16227766

Solving for variable 'B'.

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

Add '4' to each side of the equation.
-4 + 4 + B = 3.16227766 + 4

Combine like terms: -4 + 4 = 0
0 + B = 3.16227766 + 4
B = 3.16227766 + 4

Combine like terms: 3.16227766 + 4 = 7.16227766
B = 7.16227766

Simplifying
B = 7.16227766

Subproblem 2
B + -4 = -3.16227766

Simplifying
B + -4 = -3.16227766

Reorder the terms:
-4 + B = -3.16227766

Solving
-4 + B = -3.16227766

Solving for variable 'B'.

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

Add '4' to each side of the equation.
-4 + 4 + B = -3.16227766 + 4

Combine like terms: -4 + 4 = 0
0 + B = -3.16227766 + 4
B = -3.16227766 + 4

Combine like terms: -3.16227766 + 4 = 0.83772234
B = 0.83772234

Simplifying
B = 0.83772234

Solution
The solution to the problem is based on the solutions
from the subproblems.
B = {7.16227766, 0.83772234}