12b^2-8b=4b

Solution for 12b^2-8b=4b equation:

Simplifying
12b2 + -8b = 4b

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

Solving
-8b + 12b2 = 4b

Solving for variable 'b'.

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

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

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

Factor out the Greatest Common Factor (GCF), '12b'.
12b(-1 + b) = 0

Ignore the factor 12.
Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
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 = {0, 1}