(M-n+k)(m+4n-3k)=0

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Solution for (M-n+k)(m+4n-3k)=0 equation: 


Simplifying
(M + -1n + k)(m + 4n + -3k) = 0

Reorder the terms:
(M + k + -1n)(m + 4n + -3k) = 0

Reorder the terms:
(M + k + -1n)(-3k + m + 4n) = 0

Multiply (M + k + -1n) * (-3k + m + 4n)
(M(-3k + m + 4n) + k(-3k + m + 4n) + -1n * (-3k + m + 4n)) = 0
((-3k * M + m * M + 4n * M) + k(-3k + m + 4n) + -1n * (-3k + m + 4n)) = 0
((-3kM + mM + 4nM) + k(-3k + m + 4n) + -1n * (-3k + m + 4n)) = 0
(-3kM + mM + 4nM + (-3k * k + m * k + 4n * k) + -1n * (-3k + m + 4n)) = 0

Reorder the terms:
(-3kM + mM + 4nM + (km + 4kn + -3k2) + -1n * (-3k + m + 4n)) = 0
(-3kM + mM + 4nM + (km + 4kn + -3k2) + -1n * (-3k + m + 4n)) = 0
(-3kM + mM + 4nM + km + 4kn + -3k2 + (-3k * -1n + m * -1n + 4n * -1n)) = 0
(-3kM + mM + 4nM + km + 4kn + -3k2 + (3kn + -1mn + -4n2)) = 0

Reorder the terms:
(-3kM + km + 4kn + 3kn + -3k2 + mM + -1mn + 4nM + -4n2) = 0

Combine like terms: 4kn + 3kn = 7kn
(-3kM + km + 7kn + -3k2 + mM + -1mn + 4nM + -4n2) = 0

Solving
-3kM + km + 7kn + -3k2 + mM + -1mn + 4nM + -4n2 = 0

Solving for variable 'k'.

The solution to this equation could not be determined.

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