7m^2-8mn+n^2=0

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Solution for 7m^2-8mn+n^2=0 equation: 


Simplifying
7m2 + -8mn + n2 = 0

Reorder the terms:
-8mn + 7m2 + n2 = 0

Solving
-8mn + 7m2 + n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(m + -1n)(7m + -1n) = 0


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

Simplifying
m + -1n = 0

Solving
m + -1n = 0

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

Add 'n' to each side of the equation.
m + -1n + n = 0 + n

Combine like terms: -1n + n = 0
m + 0 = 0 + n
m = 0 + n
Remove the zero:
m = n

Simplifying
m = n

Subproblem 2
Set the factor '(7m + -1n)' equal to zero and attempt to solve:

Simplifying
7m + -1n = 0

Solving
7m + -1n = 0

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

Add 'n' to each side of the equation.
7m + -1n + n = 0 + n

Combine like terms: -1n + n = 0
7m + 0 = 0 + n
7m = 0 + n
Remove the zero:
7m = n

Divide each side by '7'.
m = 0.1428571429n

Simplifying
m = 0.1428571429n
Solution
m = {n, 0.1428571429n}

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