(6m+7n)(6m-7m)=

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Solution for (6m+7n)(6m-7m)= equation: 


Simplifying
(6m + 7n)(6m + -7m) = 0

Combine like terms: 6m + -7m = -1m
(6m + 7n)(-1m) = 0

Remove parenthesis around (-1m)
(6m + 7n) * -1m = 0

Reorder the terms for easier multiplication:
-1m(6m + 7n) = 0
(6m * -1m + 7n * -1m) = 0

Reorder the terms:
(-7mn + -6m2) = 0
(-7mn + -6m2) = 0

Solving
-7mn + -6m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '-1m'.
-1m(7n + 6m) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

Move all terms containing m to the left, all other terms to the right.

Simplifying
m = 0

Subproblem 2
Set the factor '(7n + 6m)' equal to zero and attempt to solve:

Simplifying
7n + 6m = 0

Reorder the terms:
6m + 7n = 0

Solving
6m + 7n = 0

Move all terms containing m to the left, all other terms to the right.

Add '-7n' to each side of the equation.
6m + 7n + -7n = 0 + -7n

Combine like terms: 7n + -7n = 0
6m + 0 = 0 + -7n
6m = 0 + -7n
Remove the zero:
6m = -7n

Divide each side by '6'.
m = -1.166666667n

Simplifying
m = -1.166666667n
Solution
m = {0, -1.166666667n}

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