5m^2-6m=-1m^2

Solution for 5m^2-6m=-1m^2 equation:

Simplifying
5m2 + -6m = -1m2

Reorder the terms:
-6m + 5m2 = -1m2

Solving
-6m + 5m2 = -1m2

Solving for variable 'm'.

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

Combine like terms: -1m2 + m2 = 0
-6m + 6m2 = 0

Factor out the Greatest Common Factor (GCF), '6m'.
6m(-1 + m) = 0

Ignore the factor 6.
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}