m^2-6m=-5m

Solution for m^2-6m=-5m equation:

Simplifying
m2 + -6m = -5m

Reorder the terms:
-6m + m2 = -5m

Solving
-6m + m2 = -5m

Solving for variable 'm'.

Reorder the terms:
-6m + 5m + m2 = -5m + 5m

Combine like terms: -6m + 5m = -1m
-1m + m2 = -5m + 5m

Combine like terms: -5m + 5m = 0
-1m + m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-1 + 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 '(-1 + m)' equal to zero and attempt to solve:

Simplifying
-1 + m = 0

Solving
-1 + m = 0

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

Add '1' to each side of the equation.
-1 + 1 + m = 0 + 1

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

Combine like terms: 0 + 1 = 1
m = 1

Simplifying
m = 1
Solution
m = {0, 1}