(m-n+k)(m+4n-5k)=

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Solution for (m-n+k)(m+4n-5k)= equation: 


Simplifying
(m + -1n + k)(m + 4n + -5k) = 0

Reorder the terms:
(k + m + -1n)(m + 4n + -5k) = 0

Reorder the terms:
(k + m + -1n)(-5k + m + 4n) = 0

Multiply (k + m + -1n) * (-5k + m + 4n)
(k(-5k + m + 4n) + m(-5k + m + 4n) + -1n * (-5k + m + 4n)) = 0
((-5k * k + m * k + 4n * k) + m(-5k + m + 4n) + -1n * (-5k + m + 4n)) = 0

Reorder the terms:
((km + 4kn + -5k2) + m(-5k + m + 4n) + -1n * (-5k + m + 4n)) = 0
((km + 4kn + -5k2) + m(-5k + m + 4n) + -1n * (-5k + m + 4n)) = 0
(km + 4kn + -5k2 + (-5k * m + m * m + 4n * m) + -1n * (-5k + m + 4n)) = 0

Reorder the terms:
(km + 4kn + -5k2 + (-5km + 4mn + m2) + -1n * (-5k + m + 4n)) = 0
(km + 4kn + -5k2 + (-5km + 4mn + m2) + -1n * (-5k + m + 4n)) = 0
(km + 4kn + -5k2 + -5km + 4mn + m2 + (-5k * -1n + m * -1n + 4n * -1n)) = 0
(km + 4kn + -5k2 + -5km + 4mn + m2 + (5kn + -1mn + -4n2)) = 0

Reorder the terms:
(km + -5km + 4kn + 5kn + -5k2 + 4mn + -1mn + m2 + -4n2) = 0

Combine like terms: km + -5km = -4km
(-4km + 4kn + 5kn + -5k2 + 4mn + -1mn + m2 + -4n2) = 0

Combine like terms: 4kn + 5kn = 9kn
(-4km + 9kn + -5k2 + 4mn + -1mn + m2 + -4n2) = 0

Combine like terms: 4mn + -1mn = 3mn
(-4km + 9kn + -5k2 + 3mn + m2 + -4n2) = 0

Solving
-4km + 9kn + -5k2 + 3mn + m2 + -4n2 = 0

Solving for variable 'k'.

The solution to this equation could not be determined.

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