(3m+n)(m-3n)-(m+3n)(3m-n)=

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Solution for (3m+n)(m-3n)-(m+3n)(3m-n)= equation: 


Simplifying
(3m + n)(m + -3n) + -1(m + 3n)(3m + -1n) = 0

Multiply (3m + n) * (m + -3n)
(3m * (m + -3n) + n(m + -3n)) + -1(m + 3n)(3m + -1n) = 0
((m * 3m + -3n * 3m) + n(m + -3n)) + -1(m + 3n)(3m + -1n) = 0

Reorder the terms:
((-9mn + 3m2) + n(m + -3n)) + -1(m + 3n)(3m + -1n) = 0
((-9mn + 3m2) + n(m + -3n)) + -1(m + 3n)(3m + -1n) = 0
(-9mn + 3m2 + (m * n + -3n * n)) + -1(m + 3n)(3m + -1n) = 0
(-9mn + 3m2 + (mn + -3n2)) + -1(m + 3n)(3m + -1n) = 0

Reorder the terms:
(-9mn + mn + 3m2 + -3n2) + -1(m + 3n)(3m + -1n) = 0

Combine like terms: -9mn + mn = -8mn
(-8mn + 3m2 + -3n2) + -1(m + 3n)(3m + -1n) = 0

Multiply (m + 3n) * (3m + -1n)
-8mn + 3m2 + -3n2 + -1(m(3m + -1n) + 3n * (3m + -1n)) = 0
-8mn + 3m2 + -3n2 + -1((3m * m + -1n * m) + 3n * (3m + -1n)) = 0

Reorder the terms:
-8mn + 3m2 + -3n2 + -1((-1mn + 3m2) + 3n * (3m + -1n)) = 0
-8mn + 3m2 + -3n2 + -1((-1mn + 3m2) + 3n * (3m + -1n)) = 0
-8mn + 3m2 + -3n2 + -1(-1mn + 3m2 + (3m * 3n + -1n * 3n)) = 0
-8mn + 3m2 + -3n2 + -1(-1mn + 3m2 + (9mn + -3n2)) = 0

Reorder the terms:
-8mn + 3m2 + -3n2 + -1(-1mn + 9mn + 3m2 + -3n2) = 0

Combine like terms: -1mn + 9mn = 8mn
-8mn + 3m2 + -3n2 + -1(8mn + 3m2 + -3n2) = 0
-8mn + 3m2 + -3n2 + (8mn * -1 + 3m2 * -1 + -3n2 * -1) = 0
-8mn + 3m2 + -3n2 + (-8mn + -3m2 + 3n2) = 0

Reorder the terms:
-8mn + -8mn + 3m2 + -3m2 + -3n2 + 3n2 = 0

Combine like terms: -8mn + -8mn = -16mn
-16mn + 3m2 + -3m2 + -3n2 + 3n2 = 0

Combine like terms: 3m2 + -3m2 = 0
-16mn + 0 + -3n2 + 3n2 = 0
-16mn + -3n2 + 3n2 = 0

Combine like terms: -3n2 + 3n2 = 0
-16mn + 0 = 0
-16mn = 0

Solving
-16mn = 0

Solving for variable 'm'.

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

Divide each side by '-16'.
mn = 0

Simplifying
mn = 0

The solution to this equation could not be determined.

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