3mn(m-6n)=

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


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

Reorder the terms:
(-18mn2 + 3m2n) = 0
(-18mn2 + 3m2n) = 0

Solving
-18mn2 + 3m2n = 0

Solving for variable 'm'.

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

Ignore the factor 3.

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 '(-6n + m)' equal to zero and attempt to solve:

Simplifying
-6n + m = 0

Reorder the terms:
m + -6n = 0

Solving
m + -6n = 0

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

Add '6n' to each side of the equation.
m + -6n + 6n = 0 + 6n

Combine like terms: -6n + 6n = 0
m + 0 = 0 + 6n
m = 0 + 6n
Remove the zero:
m = 6n

Simplifying
m = 6n
Solution
m = {6n}

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