(7m^2-mn+7n^2)(3m-n)=

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Solution for (7m^2-mn+7n^2)(3m-n)= equation:


Simplifying
(7m2 + -1mn + 7n2)(3m + -1n) = 0

Reorder the terms:
(-1mn + 7m2 + 7n2)(3m + -1n) = 0

Multiply (-1mn + 7m2 + 7n2) * (3m + -1n)
(-1mn * (3m + -1n) + 7m2 * (3m + -1n) + 7n2 * (3m + -1n)) = 0
((3m * -1mn + -1n * -1mn) + 7m2 * (3m + -1n) + 7n2 * (3m + -1n)) = 0

Reorder the terms:
((1mn2 + -3m2n) + 7m2 * (3m + -1n) + 7n2 * (3m + -1n)) = 0
((1mn2 + -3m2n) + 7m2 * (3m + -1n) + 7n2 * (3m + -1n)) = 0
(1mn2 + -3m2n + (3m * 7m2 + -1n * 7m2) + 7n2 * (3m + -1n)) = 0

Reorder the terms:
(1mn2 + -3m2n + (-7m2n + 21m3) + 7n2 * (3m + -1n)) = 0
(1mn2 + -3m2n + (-7m2n + 21m3) + 7n2 * (3m + -1n)) = 0
(1mn2 + -3m2n + -7m2n + 21m3 + (3m * 7n2 + -1n * 7n2)) = 0
(1mn2 + -3m2n + -7m2n + 21m3 + (21mn2 + -7n3)) = 0

Reorder the terms:
(1mn2 + 21mn2 + -3m2n + -7m2n + 21m3 + -7n3) = 0

Combine like terms: 1mn2 + 21mn2 = 22mn2
(22mn2 + -3m2n + -7m2n + 21m3 + -7n3) = 0

Combine like terms: -3m2n + -7m2n = -10m2n
(22mn2 + -10m2n + 21m3 + -7n3) = 0

Solving
22mn2 + -10m2n + 21m3 + -7n3 = 0

Solving for variable 'm'.

The solution to this equation could not be determined.

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