12=4(b-2)b

Solution for 12=4(b-2)b equation:

Simplifying
12 = 4(b + -2) * b

Reorder the terms:
12 = 4(-2 + b) * b

Reorder the terms for easier multiplication:
12 = 4b(-2 + b)
12 = (-2 * 4b + b * 4b)
12 = (-8b + 4b2)

Solving
12 = -8b + 4b2

Solving for variable 'b'.

Reorder the terms:
12 + 8b + -4b2 = -8b + 8b + 4b2 + -4b2

Combine like terms: -8b + 8b = 0
12 + 8b + -4b2 = 0 + 4b2 + -4b2
12 + 8b + -4b2 = 4b2 + -4b2

Combine like terms: 4b2 + -4b2 = 0
12 + 8b + -4b2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + 2b + -1b2) = 0

Factor a trinomial.
4((3 + -1b)(1 + b)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

Solving
1 + b = 0

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

Add '-1' to each side of the equation.
1 + -1 + b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + b = 0 + -1
b = 0 + -1

Combine like terms: 0 + -1 = -1
b = -1

Simplifying
b = -1
Solution
b = {3, -1}