[(2m+3n)-7][(2m+3n)+7]=

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Solution for [(2m+3n)-7][(2m+3n)+7]= equation: 


Simplifying
[(2m + 3n) + -7][(2m + 3n) + 7] = 0

Remove parenthesis around (2m + 3n)
[2m + 3n + -7][(2m + 3n) + 7] = 0

Reorder the terms:
[-7 + 2m + 3n][(2m + 3n) + 7] = 0

Remove parenthesis around (2m + 3n)
[-7 + 2m + 3n][2m + 3n + 7] = 0

Reorder the terms:
[-7 + 2m + 3n][7 + 2m + 3n] = 0

Multiply [-7 + 2m + 3n] * [7 + 2m + 3n]
[-7[7 + 2m + 3n] + 2m * [7 + 2m + 3n] + 3n * [7 + 2m + 3n]] = 0
[[7 * -7 + 2m * -7 + 3n * -7] + 2m * [7 + 2m + 3n] + 3n * [7 + 2m + 3n]] = 0
[[-49 + -14m + -21n] + 2m * [7 + 2m + 3n] + 3n * [7 + 2m + 3n]] = 0
[-49 + -14m + -21n + [7 * 2m + 2m * 2m + 3n * 2m] + 3n * [7 + 2m + 3n]] = 0

Reorder the terms:
[-49 + -14m + -21n + [14m + 6mn + 4m2] + 3n * [7 + 2m + 3n]] = 0
[-49 + -14m + -21n + [14m + 6mn + 4m2] + 3n * [7 + 2m + 3n]] = 0
[-49 + -14m + -21n + 14m + 6mn + 4m2 + [7 * 3n + 2m * 3n + 3n * 3n]] = 0

Reorder the terms:
[-49 + -14m + -21n + 14m + 6mn + 4m2 + [6mn + 21n + 9n2]] = 0
[-49 + -14m + -21n + 14m + 6mn + 4m2 + [6mn + 21n + 9n2]] = 0

Reorder the terms:
[-49 + -14m + 14m + 6mn + 6mn + 4m2 + -21n + 21n + 9n2] = 0

Combine like terms: -14m + 14m = 0
[-49 + 0 + 6mn + 6mn + 4m2 + -21n + 21n + 9n2] = 0
[-49 + 6mn + 6mn + 4m2 + -21n + 21n + 9n2] = 0

Combine like terms: 6mn + 6mn = 12mn
[-49 + 12mn + 4m2 + -21n + 21n + 9n2] = 0

Combine like terms: -21n + 21n = 0
[-49 + 12mn + 4m2 + 0 + 9n2] = 0
[-49 + 12mn + 4m2 + 9n2] = 0

Solving
-49 + 12mn + 4m2 + 9n2 = 0

Solving for variable 'm'.

The solution to this equation could not be determined.

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