7m^3n-21mn^3+14mn=

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Solution for 7m^3n-21mn^3+14mn= equation: 


Simplifying
7m3n + -21mn3 + 14mn = 0

Reorder the terms:
14mn + -21mn3 + 7m3n = 0

Solving
14mn + -21mn3 + 7m3n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '7mn'.
7mn(2 + -3n2 + m2) = 0

Factor a trinomial.
7mn((-3n + -1m)(n + -1m)) = 0

Ignore the factor 7.

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 + -1m)' equal to zero and attempt to solve:

Simplifying
-3n + -1m = 0

Reorder the terms:
-1m + -3n = 0

Solving
-1m + -3n = 0

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

Add '3n' to each side of the equation.
-1m + -3n + 3n = 0 + 3n

Combine like terms: -3n + 3n = 0
-1m + 0 = 0 + 3n
-1m = 0 + 3n
Remove the zero:
-1m = 3n

Divide each side by '-1'.
m = -3n

Simplifying
m = -3n

Subproblem 3
Set the factor '(n + -1m)' equal to zero and attempt to solve:

Simplifying
n + -1m = 0

Reorder the terms:
-1m + n = 0

Solving
-1m + n = 0

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

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

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

Divide each side by '-1'.
m = n

Simplifying
m = n
Solution
m = {-3n, n}

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