m(m-2)=m

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

Simplifying
m(m + -2) = m

Reorder the terms:
m(-2 + m) = m
(-2 * m + m * m) = m
(-2m + m2) = m

Solving
-2m + m2 = m

Solving for variable 'm'.

Reorder the terms:
-2m + -1m + m2 = m + -1m

Combine like terms: -2m + -1m = -3m
-3m + m2 = m + -1m

Combine like terms: m + -1m = 0
-3m + m2 = 0

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

Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
Set the factor '(-3 + m)' equal to zero and attempt to solve:

Simplifying
-3 + m = 0

Solving
-3 + m = 0

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

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

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

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

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