13(n+4+7m)13(n+4+7m)=

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Solution for 13(n+4+7m)13(n+4+7m)= equation: 


Simplifying
13(n + 4 + 7m) * 13(n + 4 + 7m) = 0

Reorder the terms:
13(4 + 7m + n) * 13(n + 4 + 7m) = 0

Reorder the terms:
13(4 + 7m + n) * 13(4 + 7m + n) = 0

Reorder the terms for easier multiplication:
13 * 13(4 + 7m + n)(4 + 7m + n) = 0

Multiply 13 * 13
169(4 + 7m + n)(4 + 7m + n) = 0

Multiply (4 + 7m + n) * (4 + 7m + n)
169(4(4 + 7m + n) + 7m * (4 + 7m + n) + n(4 + 7m + n)) = 0
169((4 * 4 + 7m * 4 + n * 4) + 7m * (4 + 7m + n) + n(4 + 7m + n)) = 0
169((16 + 28m + 4n) + 7m * (4 + 7m + n) + n(4 + 7m + n)) = 0
169(16 + 28m + 4n + (4 * 7m + 7m * 7m + n * 7m) + n(4 + 7m + n)) = 0

Reorder the terms:
169(16 + 28m + 4n + (28m + 7mn + 49m2) + n(4 + 7m + n)) = 0
169(16 + 28m + 4n + (28m + 7mn + 49m2) + n(4 + 7m + n)) = 0
169(16 + 28m + 4n + 28m + 7mn + 49m2 + (4 * n + 7m * n + n * n)) = 0

Reorder the terms:
169(16 + 28m + 4n + 28m + 7mn + 49m2 + (7mn + 4n + n2)) = 0
169(16 + 28m + 4n + 28m + 7mn + 49m2 + (7mn + 4n + n2)) = 0

Reorder the terms:
169(16 + 28m + 28m + 7mn + 7mn + 49m2 + 4n + 4n + n2) = 0

Combine like terms: 28m + 28m = 56m
169(16 + 56m + 7mn + 7mn + 49m2 + 4n + 4n + n2) = 0

Combine like terms: 7mn + 7mn = 14mn
169(16 + 56m + 14mn + 49m2 + 4n + 4n + n2) = 0

Combine like terms: 4n + 4n = 8n
169(16 + 56m + 14mn + 49m2 + 8n + n2) = 0
(16 * 169 + 56m * 169 + 14mn * 169 + 49m2 * 169 + 8n * 169 + n2 * 169) = 0
(2704 + 9464m + 2366mn + 8281m2 + 1352n + 169n2) = 0

Solving
2704 + 9464m + 2366mn + 8281m2 + 1352n + 169n2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '169'.
169(16 + 56m + 14mn + 49m2 + 8n + n2) = 0

Ignore the factor 169.

Subproblem 1
Set the factor '(16 + 56m + 14mn + 49m2 + 8n + n2)' equal to zero and attempt to solve:

Simplifying
16 + 56m + 14mn + 49m2 + 8n + n2 = 0

Solving
16 + 56m + 14mn + 49m2 + 8n + n2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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