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

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Solution for (7n-6m)(7n-6m)=0 equation: 


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

Reorder the terms:
(-6m + 7n)(7n + -6m) = 0

Reorder the terms:
(-6m + 7n)(-6m + 7n) = 0

Multiply (-6m + 7n) * (-6m + 7n)
(-6m * (-6m + 7n) + 7n * (-6m + 7n)) = 0
((-6m * -6m + 7n * -6m) + 7n * (-6m + 7n)) = 0

Reorder the terms:
((-42mn + 36m2) + 7n * (-6m + 7n)) = 0
((-42mn + 36m2) + 7n * (-6m + 7n)) = 0
(-42mn + 36m2 + (-6m * 7n + 7n * 7n)) = 0
(-42mn + 36m2 + (-42mn + 49n2)) = 0

Reorder the terms:
(-42mn + -42mn + 36m2 + 49n2) = 0

Combine like terms: -42mn + -42mn = -84mn
(-84mn + 36m2 + 49n2) = 0

Solving
-84mn + 36m2 + 49n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(6m + -7n)(6m + -7n) = 0


Subproblem 1
Set the factor '(6m + -7n)' equal to zero and attempt to solve:

Simplifying
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

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

Simplifying
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 = {1.166666667n, 1.166666667n}

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