-9m(5n-5)=0

Solution for -9m(5n-5)=0 equation:

Simplifying
-9m(5n + -5) = 0

Reorder the terms:
-9m(-5 + 5n) = 0
(-5 * -9m + 5n * -9m) = 0
(45m + -45mn) = 0

Solving
45m + -45mn = 0

Solving for variable 'm'.

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

Factor out the Greatest Common Factor (GCF), '45m'.
45m(1 + -1n) = 0

Ignore the factor 45.
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 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

Solving
1 + -1n = 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 + -1n = 0 + -1

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

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

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

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

Simplifying
0 = -1 + n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}