m^2-3m=2m

Solution for m^2-3m=2m equation:

Simplifying
m2 + -3m = 2m

Reorder the terms:
-3m + m2 = 2m

Solving
-3m + m2 = 2m

Solving for variable 'm'.

Reorder the terms:
-3m + -2m + m2 = 2m + -2m

Combine like terms: -3m + -2m = -5m
-5m + m2 = 2m + -2m

Combine like terms: 2m + -2m = 0
-5m + m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-5 + 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 '(-5 + m)' equal to zero and attempt to solve:

Simplifying
-5 + m = 0

Solving
-5 + m = 0

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

Add '5' to each side of the equation.
-5 + 5 + m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + m = 0 + 5
m = 0 + 5

Combine like terms: 0 + 5 = 5
m = 5

Simplifying
m = 5
Solution
m = {0, 5}