(-4m+8mn-2n)(-5n+m)=

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Solution for (-4m+8mn-2n)(-5n+m)= equation: 


Simplifying
(-4m + 8mn + -2n)(-5n + m) = 0

Reorder the terms:
(-4m + 8mn + -2n)(m + -5n) = 0

Multiply (-4m + 8mn + -2n) * (m + -5n)
(-4m * (m + -5n) + 8mn * (m + -5n) + -2n * (m + -5n)) = 0
((m * -4m + -5n * -4m) + 8mn * (m + -5n) + -2n * (m + -5n)) = 0

Reorder the terms:
((20mn + -4m2) + 8mn * (m + -5n) + -2n * (m + -5n)) = 0
((20mn + -4m2) + 8mn * (m + -5n) + -2n * (m + -5n)) = 0
(20mn + -4m2 + (m * 8mn + -5n * 8mn) + -2n * (m + -5n)) = 0

Reorder the terms:
(20mn + -4m2 + (-40mn2 + 8m2n) + -2n * (m + -5n)) = 0
(20mn + -4m2 + (-40mn2 + 8m2n) + -2n * (m + -5n)) = 0
(20mn + -4m2 + -40mn2 + 8m2n + (m * -2n + -5n * -2n)) = 0
(20mn + -4m2 + -40mn2 + 8m2n + (-2mn + 10n2)) = 0

Reorder the terms:
(20mn + -2mn + -40mn2 + -4m2 + 8m2n + 10n2) = 0

Combine like terms: 20mn + -2mn = 18mn
(18mn + -40mn2 + -4m2 + 8m2n + 10n2) = 0

Solving
18mn + -40mn2 + -4m2 + 8m2n + 10n2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9mn + -20mn2 + -2m2 + 4m2n + 5n2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(9mn + -20mn2 + -2m2 + 4m2n + 5n2)' equal to zero and attempt to solve:

Simplifying
9mn + -20mn2 + -2m2 + 4m2n + 5n2 = 0

Solving
9mn + -20mn2 + -2m2 + 4m2n + 5n2 = 0

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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