(m-n+k)(m+3n-7k)=

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Solution for (m-n+k)(m+3n-7k)= equation: 


Simplifying
(m + -1n + k)(m + 3n + -7k) = 0

Reorder the terms:
(k + m + -1n)(m + 3n + -7k) = 0

Reorder the terms:
(k + m + -1n)(-7k + m + 3n) = 0

Multiply (k + m + -1n) * (-7k + m + 3n)
(k(-7k + m + 3n) + m(-7k + m + 3n) + -1n * (-7k + m + 3n)) = 0
((-7k * k + m * k + 3n * k) + m(-7k + m + 3n) + -1n * (-7k + m + 3n)) = 0

Reorder the terms:
((km + 3kn + -7k2) + m(-7k + m + 3n) + -1n * (-7k + m + 3n)) = 0
((km + 3kn + -7k2) + m(-7k + m + 3n) + -1n * (-7k + m + 3n)) = 0
(km + 3kn + -7k2 + (-7k * m + m * m + 3n * m) + -1n * (-7k + m + 3n)) = 0

Reorder the terms:
(km + 3kn + -7k2 + (-7km + 3mn + m2) + -1n * (-7k + m + 3n)) = 0
(km + 3kn + -7k2 + (-7km + 3mn + m2) + -1n * (-7k + m + 3n)) = 0
(km + 3kn + -7k2 + -7km + 3mn + m2 + (-7k * -1n + m * -1n + 3n * -1n)) = 0
(km + 3kn + -7k2 + -7km + 3mn + m2 + (7kn + -1mn + -3n2)) = 0

Reorder the terms:
(km + -7km + 3kn + 7kn + -7k2 + 3mn + -1mn + m2 + -3n2) = 0

Combine like terms: km + -7km = -6km
(-6km + 3kn + 7kn + -7k2 + 3mn + -1mn + m2 + -3n2) = 0

Combine like terms: 3kn + 7kn = 10kn
(-6km + 10kn + -7k2 + 3mn + -1mn + m2 + -3n2) = 0

Combine like terms: 3mn + -1mn = 2mn
(-6km + 10kn + -7k2 + 2mn + m2 + -3n2) = 0

Solving
-6km + 10kn + -7k2 + 2mn + m2 + -3n2 = 0

Solving for variable 'k'.

The solution to this equation could not be determined.

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