8b^2-6b=2b

Solution for 8b^2-6b=2b equation:

Simplifying
8b2 + -6b = 2b

Reorder the terms:
-6b + 8b2 = 2b

Solving
-6b + 8b2 = 2b

Solving for variable 'b'.

Reorder the terms:
-6b + -2b + 8b2 = 2b + -2b

Combine like terms: -6b + -2b = -8b
-8b + 8b2 = 2b + -2b

Combine like terms: 2b + -2b = 0
-8b + 8b2 = 0

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

Ignore the factor 8.
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}