3mn-2m(n-4m)=

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Solution for 3mn-2m(n-4m)= equation: 


Simplifying
3mn + -2m(n + -4m) = 0

Reorder the terms:
3mn + -2m(-4m + n) = 0
3mn + (-4m * -2m + n * -2m) = 0

Reorder the terms:
3mn + (-2mn + 8m2) = 0
3mn + (-2mn + 8m2) = 0

Combine like terms: 3mn + -2mn = 1mn
1mn + 8m2 = 0

Solving
1mn + 8m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(n + 8m) = 0


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 '(n + 8m)' equal to zero and attempt to solve:

Simplifying
n + 8m = 0

Reorder the terms:
8m + n = 0

Solving
8m + n = 0

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

Add '-1n' to each side of the equation.
8m + n + -1n = 0 + -1n

Combine like terms: n + -1n = 0
8m + 0 = 0 + -1n
8m = 0 + -1n
Remove the zero:
8m = -1n

Divide each side by '8'.
m = -0.125n

Simplifying
m = -0.125n
Solution
m = {0, -0.125n}

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