b(b-2)=b

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

Simplifying
b(b + -2) = b

Reorder the terms:
b(-2 + b) = b
(-2 * b + b * b) = b
(-2b + b2) = b

Solving
-2b + b2 = b

Solving for variable 'b'.

Reorder the terms:
-2b + -1b + b2 = b + -1b

Combine like terms: -2b + -1b = -3b
-3b + b2 = b + -1b

Combine like terms: b + -1b = 0
-3b + b2 = 0

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

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 '(-3 + b)' equal to zero and attempt to solve:

Simplifying
-3 + b = 0

Solving
-3 + b = 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 + b = 0 + 3

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

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

Simplifying
b = 3
Solution
b = {0, 3}