6m^2-9m=0

Solution for 6m^2-9m=0 equation:

Simplifying
6m2 + -9m = 0

Reorder the terms:
-9m + 6m2 = 0

Solving
-9m + 6m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m'.
3m(-3 + 2m) = 0

Ignore the factor 3.
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 + 2m)' equal to zero and attempt to solve:

Simplifying
-3 + 2m = 0

Solving
-3 + 2m = 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 + 2m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2m = 0 + 3
2m = 0 + 3

Combine like terms: 0 + 3 = 3
2m = 3

Divide each side by '2'.
m = 1.5

Simplifying
m = 1.5
Solution
m = {0, 1.5}