(m-n+k)(m-4n-9k)=0

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Solution for (m-n+k)(m-4n-9k)=0 equation:


Simplifying
(m + -1n + k)(m + -4n + -9k) = 0

Reorder the terms:
(k + m + -1n)(m + -4n + -9k) = 0

Reorder the terms:
(k + m + -1n)(-9k + m + -4n) = 0

Multiply (k + m + -1n) * (-9k + m + -4n)
(k(-9k + m + -4n) + m(-9k + m + -4n) + -1n * (-9k + m + -4n)) = 0
((-9k * k + m * k + -4n * k) + m(-9k + m + -4n) + -1n * (-9k + m + -4n)) = 0

Reorder the terms:
((km + -4kn + -9k2) + m(-9k + m + -4n) + -1n * (-9k + m + -4n)) = 0
((km + -4kn + -9k2) + m(-9k + m + -4n) + -1n * (-9k + m + -4n)) = 0
(km + -4kn + -9k2 + (-9k * m + m * m + -4n * m) + -1n * (-9k + m + -4n)) = 0

Reorder the terms:
(km + -4kn + -9k2 + (-9km + -4mn + m2) + -1n * (-9k + m + -4n)) = 0
(km + -4kn + -9k2 + (-9km + -4mn + m2) + -1n * (-9k + m + -4n)) = 0
(km + -4kn + -9k2 + -9km + -4mn + m2 + (-9k * -1n + m * -1n + -4n * -1n)) = 0
(km + -4kn + -9k2 + -9km + -4mn + m2 + (9kn + -1mn + 4n2)) = 0

Reorder the terms:
(km + -9km + -4kn + 9kn + -9k2 + -4mn + -1mn + m2 + 4n2) = 0

Combine like terms: km + -9km = -8km
(-8km + -4kn + 9kn + -9k2 + -4mn + -1mn + m2 + 4n2) = 0

Combine like terms: -4kn + 9kn = 5kn
(-8km + 5kn + -9k2 + -4mn + -1mn + m2 + 4n2) = 0

Combine like terms: -4mn + -1mn = -5mn
(-8km + 5kn + -9k2 + -5mn + m2 + 4n2) = 0

Solving
-8km + 5kn + -9k2 + -5mn + m2 + 4n2 = 0

Solving for variable 'k'.

The solution to this equation could not be determined.

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