9m(2m-3n)=

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Solution for 9m(2m-3n)= equation: 


Simplifying
9m(2m + -3n) = 0
(2m * 9m + -3n * 9m) = 0

Reorder the terms:
(-27mn + 18m2) = 0
(-27mn + 18m2) = 0

Solving
-27mn + 18m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '9m'.
9m(-3n + 2m) = 0

Ignore the factor 9.

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 '(-3n + 2m)' equal to zero and attempt to solve:

Simplifying
-3n + 2m = 0

Reorder the terms:
2m + -3n = 0

Solving
2m + -3n = 0

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

Add '3n' to each side of the equation.
2m + -3n + 3n = 0 + 3n

Combine like terms: -3n + 3n = 0
2m + 0 = 0 + 3n
2m = 0 + 3n
Remove the zero:
2m = 3n

Divide each side by '2'.
m = 1.5n

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

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