(m+8n-7k)(m-n+k)=0

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Solution for (m+8n-7k)(m-n+k)=0 equation:


Simplifying
(m + 8n + -7k)(m + -1n + k) = 0

Reorder the terms:
(-7k + m + 8n)(m + -1n + k) = 0

Reorder the terms:
(-7k + m + 8n)(k + m + -1n) = 0

Multiply (-7k + m + 8n) * (k + m + -1n)
(-7k * (k + m + -1n) + m(k + m + -1n) + 8n * (k + m + -1n)) = 0
((k * -7k + m * -7k + -1n * -7k) + m(k + m + -1n) + 8n * (k + m + -1n)) = 0

Reorder the terms:
((-7km + 7kn + -7k2) + m(k + m + -1n) + 8n * (k + m + -1n)) = 0
((-7km + 7kn + -7k2) + m(k + m + -1n) + 8n * (k + m + -1n)) = 0
(-7km + 7kn + -7k2 + (k * m + m * m + -1n * m) + 8n * (k + m + -1n)) = 0

Reorder the terms:
(-7km + 7kn + -7k2 + (km + -1mn + m2) + 8n * (k + m + -1n)) = 0
(-7km + 7kn + -7k2 + (km + -1mn + m2) + 8n * (k + m + -1n)) = 0
(-7km + 7kn + -7k2 + km + -1mn + m2 + (k * 8n + m * 8n + -1n * 8n)) = 0
(-7km + 7kn + -7k2 + km + -1mn + m2 + (8kn + 8mn + -8n2)) = 0

Reorder the terms:
(-7km + km + 7kn + 8kn + -7k2 + -1mn + 8mn + m2 + -8n2) = 0

Combine like terms: -7km + km = -6km
(-6km + 7kn + 8kn + -7k2 + -1mn + 8mn + m2 + -8n2) = 0

Combine like terms: 7kn + 8kn = 15kn
(-6km + 15kn + -7k2 + -1mn + 8mn + m2 + -8n2) = 0

Combine like terms: -1mn + 8mn = 7mn
(-6km + 15kn + -7k2 + 7mn + m2 + -8n2) = 0

Solving
-6km + 15kn + -7k2 + 7mn + m2 + -8n2 = 0

Solving for variable 'k'.

The solution to this equation could not be determined.

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