(2mn)(2m-3n-4mn+1)=

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Solution for (2mn)(2m-3n-4mn+1)= equation: 


Simplifying
(2mn)(2m + -3n + -4mn + 1) = 0

Remove parenthesis around (2mn)
2mn(2m + -3n + -4mn + 1) = 0

Reorder the terms:
2mn(1 + 2m + -4mn + -3n) = 0
(1 * 2mn + 2m * 2mn + -4mn * 2mn + -3n * 2mn) = 0

Reorder the terms:
(2mn + -6mn2 + 4m2n + -8m2n2) = 0
(2mn + -6mn2 + 4m2n + -8m2n2) = 0

Solving
2mn + -6mn2 + 4m2n + -8m2n2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2mn'.
2mn(1 + -3n + 2m + -4mn) = 0

Ignore the factor 2.

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 '(1 + -3n + 2m + -4mn)' equal to zero and attempt to solve:

Simplifying
1 + -3n + 2m + -4mn = 0

Reorder the terms:
1 + 2m + -4mn + -3n = 0

Solving
1 + 2m + -4mn + -3n = 0

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

Add '-1' to each side of the equation.
1 + 2m + -4mn + -1 + -3n = 0 + -1

Reorder the terms:
1 + -1 + 2m + -4mn + -3n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2m + -4mn + -3n = 0 + -1
2m + -4mn + -3n = 0 + -1

Combine like terms: 0 + -1 = -1
2m + -4mn + -3n = -1

Add '3n' to each side of the equation.
2m + -4mn + -3n + 3n = -1 + 3n

Combine like terms: -3n + 3n = 0
2m + -4mn + 0 = -1 + 3n
2m + -4mn = -1 + 3n

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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