(m-n+k)(m+4n-8k)=0

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Solution for (m-n+k)(m+4n-8k)=0 equation: 


Simplifying
(m + -1n + k)(m + 4n + -8k) = 0

Reorder the terms:
(k + m + -1n)(m + 4n + -8k) = 0

Reorder the terms:
(k + m + -1n)(-8k + m + 4n) = 0

Multiply (k + m + -1n) * (-8k + m + 4n)
(k(-8k + m + 4n) + m(-8k + m + 4n) + -1n * (-8k + m + 4n)) = 0
((-8k * k + m * k + 4n * k) + m(-8k + m + 4n) + -1n * (-8k + m + 4n)) = 0

Reorder the terms:
((km + 4kn + -8k2) + m(-8k + m + 4n) + -1n * (-8k + m + 4n)) = 0
((km + 4kn + -8k2) + m(-8k + m + 4n) + -1n * (-8k + m + 4n)) = 0
(km + 4kn + -8k2 + (-8k * m + m * m + 4n * m) + -1n * (-8k + m + 4n)) = 0

Reorder the terms:
(km + 4kn + -8k2 + (-8km + 4mn + m2) + -1n * (-8k + m + 4n)) = 0
(km + 4kn + -8k2 + (-8km + 4mn + m2) + -1n * (-8k + m + 4n)) = 0
(km + 4kn + -8k2 + -8km + 4mn + m2 + (-8k * -1n + m * -1n + 4n * -1n)) = 0
(km + 4kn + -8k2 + -8km + 4mn + m2 + (8kn + -1mn + -4n2)) = 0

Reorder the terms:
(km + -8km + 4kn + 8kn + -8k2 + 4mn + -1mn + m2 + -4n2) = 0

Combine like terms: km + -8km = -7km
(-7km + 4kn + 8kn + -8k2 + 4mn + -1mn + m2 + -4n2) = 0

Combine like terms: 4kn + 8kn = 12kn
(-7km + 12kn + -8k2 + 4mn + -1mn + m2 + -4n2) = 0

Combine like terms: 4mn + -1mn = 3mn
(-7km + 12kn + -8k2 + 3mn + m2 + -4n2) = 0

Solving
-7km + 12kn + -8k2 + 3mn + m2 + -4n2 = 0

Solving for variable 'k'.

The solution to this equation could not be determined.

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