24=2(b-2)4b

Solution for 24=2(b-2)4b equation:

Simplifying
24 = 2(b + -2) * 4b

Reorder the terms:
24 = 2(-2 + b) * 4b

Reorder the terms for easier multiplication:
24 = 2 * 4b(-2 + b)

Multiply 2 * 4
24 = 8b(-2 + b)
24 = (-2 * 8b + b * 8b)
24 = (-16b + 8b2)

Solving
24 = -16b + 8b2

Solving for variable 'b'.

Reorder the terms:
24 + 16b + -8b2 = -16b + 16b + 8b2 + -8b2

Combine like terms: -16b + 16b = 0
24 + 16b + -8b2 = 0 + 8b2 + -8b2
24 + 16b + -8b2 = 8b2 + -8b2

Combine like terms: 8b2 + -8b2 = 0
24 + 16b + -8b2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(3 + 2b + -1b2) = 0

Factor a trinomial.
8((3 + -1b)(1 + b)) = 0

Ignore the factor 8.
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}