0=[(2m+7)-n][(2m+7)-n]

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Solution for 0=[(2m+7)-n][(2m+7)-n] equation: 


Simplifying
0 = [(2m + 7) + -1n][(2m + 7) + -1n]

Reorder the terms:
0 = [(7 + 2m) + -1n][(2m + 7) + -1n]

Remove parenthesis around (7 + 2m)
0 = [7 + 2m + -1n][(2m + 7) + -1n]

Reorder the terms:
0 = [7 + 2m + -1n][(7 + 2m) + -1n]

Remove parenthesis around (7 + 2m)
0 = [7 + 2m + -1n][7 + 2m + -1n]

Multiply [7 + 2m + -1n] * [7 + 2m + -1n]
0 = [7[7 + 2m + -1n] + 2m * [7 + 2m + -1n] + -1n * [7 + 2m + -1n]]
0 = [[7 * 7 + 2m * 7 + -1n * 7] + 2m * [7 + 2m + -1n] + -1n * [7 + 2m + -1n]]
0 = [[49 + 14m + -7n] + 2m * [7 + 2m + -1n] + -1n * [7 + 2m + -1n]]
0 = [49 + 14m + -7n + [7 * 2m + 2m * 2m + -1n * 2m] + -1n * [7 + 2m + -1n]]

Reorder the terms:
0 = [49 + 14m + -7n + [14m + -2mn + 4m2] + -1n * [7 + 2m + -1n]]
0 = [49 + 14m + -7n + [14m + -2mn + 4m2] + -1n * [7 + 2m + -1n]]
0 = [49 + 14m + -7n + 14m + -2mn + 4m2 + [7 * -1n + 2m * -1n + -1n * -1n]]

Reorder the terms:
0 = [49 + 14m + -7n + 14m + -2mn + 4m2 + [-2mn + -7n + 1n2]]
0 = [49 + 14m + -7n + 14m + -2mn + 4m2 + [-2mn + -7n + 1n2]]

Reorder the terms:
0 = [49 + 14m + 14m + -2mn + -2mn + 4m2 + -7n + -7n + 1n2]

Combine like terms: 14m + 14m = 28m
0 = [49 + 28m + -2mn + -2mn + 4m2 + -7n + -7n + 1n2]

Combine like terms: -2mn + -2mn = -4mn
0 = [49 + 28m + -4mn + 4m2 + -7n + -7n + 1n2]

Combine like terms: -7n + -7n = -14n
0 = [49 + 28m + -4mn + 4m2 + -14n + 1n2]

Solving
0 = 49 + 28m + -4mn + 4m2 + -14n + 1n2

Solving for variable 'm'.

Combine like terms: 0 + -49 = -49
-49 + -28m + 4mn + -4m2 + 14n + -1n2 = 49 + 28m + -4mn + 4m2 + -14n + 1n2 + -49 + -28m + 4mn + -4m2 + 14n + -1n2

Reorder the terms:
-49 + -28m + 4mn + -4m2 + 14n + -1n2 = 49 + -49 + 28m + -28m + -4mn + 4mn + 4m2 + -4m2 + -14n + 14n + 1n2 + -1n2

Combine like terms: 49 + -49 = 0
-49 + -28m + 4mn + -4m2 + 14n + -1n2 = 0 + 28m + -28m + -4mn + 4mn + 4m2 + -4m2 + -14n + 14n + 1n2 + -1n2
-49 + -28m + 4mn + -4m2 + 14n + -1n2 = 28m + -28m + -4mn + 4mn + 4m2 + -4m2 + -14n + 14n + 1n2 + -1n2

Combine like terms: 28m + -28m = 0
-49 + -28m + 4mn + -4m2 + 14n + -1n2 = 0 + -4mn + 4mn + 4m2 + -4m2 + -14n + 14n + 1n2 + -1n2
-49 + -28m + 4mn + -4m2 + 14n + -1n2 = -4mn + 4mn + 4m2 + -4m2 + -14n + 14n + 1n2 + -1n2

Combine like terms: -4mn + 4mn = 0
-49 + -28m + 4mn + -4m2 + 14n + -1n2 = 0 + 4m2 + -4m2 + -14n + 14n + 1n2 + -1n2
-49 + -28m + 4mn + -4m2 + 14n + -1n2 = 4m2 + -4m2 + -14n + 14n + 1n2 + -1n2

Combine like terms: 4m2 + -4m2 = 0
-49 + -28m + 4mn + -4m2 + 14n + -1n2 = 0 + -14n + 14n + 1n2 + -1n2
-49 + -28m + 4mn + -4m2 + 14n + -1n2 = -14n + 14n + 1n2 + -1n2

Combine like terms: -14n + 14n = 0
-49 + -28m + 4mn + -4m2 + 14n + -1n2 = 0 + 1n2 + -1n2
-49 + -28m + 4mn + -4m2 + 14n + -1n2 = 1n2 + -1n2

Combine like terms: 1n2 + -1n2 = 0
-49 + -28m + 4mn + -4m2 + 14n + -1n2 = 0

The solution to this equation could not be determined.

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