3m^2-46mn+56n^2=0

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Solution for 3m^2-46mn+56n^2=0 equation: 


Simplifying
3m2 + -46mn + 56n2 = 0

Reorder the terms:
-46mn + 3m2 + 56n2 = 0

Solving
-46mn + 3m2 + 56n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(m + -14n)(3m + -4n) = 0


Subproblem 1
Set the factor '(m + -14n)' equal to zero and attempt to solve:

Simplifying
m + -14n = 0

Solving
m + -14n = 0

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

Add '14n' to each side of the equation.
m + -14n + 14n = 0 + 14n

Combine like terms: -14n + 14n = 0
m + 0 = 0 + 14n
m = 0 + 14n
Remove the zero:
m = 14n

Simplifying
m = 14n

Subproblem 2
Set the factor '(3m + -4n)' equal to zero and attempt to solve:

Simplifying
3m + -4n = 0

Solving
3m + -4n = 0

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

Add '4n' to each side of the equation.
3m + -4n + 4n = 0 + 4n

Combine like terms: -4n + 4n = 0
3m + 0 = 0 + 4n
3m = 0 + 4n
Remove the zero:
3m = 4n

Divide each side by '3'.
m = 1.333333333n

Simplifying
m = 1.333333333n
Solution
m = {14n, 1.333333333n}

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