(m-n+k)(m+2n-3k)=

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Solution for (m-n+k)(m+2n-3k)= equation: 


Simplifying
(m + -1n + k)(m + 2n + -3k) = 0

Reorder the terms:
(k + m + -1n)(m + 2n + -3k) = 0

Reorder the terms:
(k + m + -1n)(-3k + m + 2n) = 0

Multiply (k + m + -1n) * (-3k + m + 2n)
(k(-3k + m + 2n) + m(-3k + m + 2n) + -1n * (-3k + m + 2n)) = 0
((-3k * k + m * k + 2n * k) + m(-3k + m + 2n) + -1n * (-3k + m + 2n)) = 0

Reorder the terms:
((km + 2kn + -3k2) + m(-3k + m + 2n) + -1n * (-3k + m + 2n)) = 0
((km + 2kn + -3k2) + m(-3k + m + 2n) + -1n * (-3k + m + 2n)) = 0
(km + 2kn + -3k2 + (-3k * m + m * m + 2n * m) + -1n * (-3k + m + 2n)) = 0

Reorder the terms:
(km + 2kn + -3k2 + (-3km + 2mn + m2) + -1n * (-3k + m + 2n)) = 0
(km + 2kn + -3k2 + (-3km + 2mn + m2) + -1n * (-3k + m + 2n)) = 0
(km + 2kn + -3k2 + -3km + 2mn + m2 + (-3k * -1n + m * -1n + 2n * -1n)) = 0
(km + 2kn + -3k2 + -3km + 2mn + m2 + (3kn + -1mn + -2n2)) = 0

Reorder the terms:
(km + -3km + 2kn + 3kn + -3k2 + 2mn + -1mn + m2 + -2n2) = 0

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

Combine like terms: 2kn + 3kn = 5kn
(-2km + 5kn + -3k2 + 2mn + -1mn + m2 + -2n2) = 0

Combine like terms: 2mn + -1mn = 1mn
(-2km + 5kn + -3k2 + 1mn + m2 + -2n2) = 0

Solving
-2km + 5kn + -3k2 + 1mn + m2 + -2n2 = 0

Solving for variable 'k'.

The solution to this equation could not be determined.

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