6mn(2m-3n)=

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Solution for 6mn(2m-3n)= equation: 


Simplifying
6mn(2m + -3n) = 0
(2m * 6mn + -3n * 6mn) = 0

Reorder the terms:
(-18mn2 + 12m2n) = 0
(-18mn2 + 12m2n) = 0

Solving
-18mn2 + 12m2n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '6mn'.
6mn(-3n + 2m) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'mn' equal to zero and attempt to solve:

Simplifying
mn = 0

Solving
mn = 0

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

Simplifying
mn = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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 = {1.5n}

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