4m^2-4mn+n^2=

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Solution for 4m^2-4mn+n^2= equation:


Simplifying
4m2 + -4mn + n2 = 0

Reorder the terms:
-4mn + 4m2 + n2 = 0

Solving
-4mn + 4m2 + n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(2m + -1n)(2m + -1n) = 0

Subproblem 1

Set the factor '(2m + -1n)' equal to zero and attempt to solve: Simplifying 2m + -1n = 0 Solving 2m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 2m + -1n + n = 0 + n Combine like terms: -1n + n = 0 2m + 0 = 0 + n 2m = 0 + n Remove the zero: 2m = n Divide each side by '2'. m = 0.5n Simplifying m = 0.5n

Subproblem 2

Set the factor '(2m + -1n)' equal to zero and attempt to solve: Simplifying 2m + -1n = 0 Solving 2m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 2m + -1n + n = 0 + n Combine like terms: -1n + n = 0 2m + 0 = 0 + n 2m = 0 + n Remove the zero: 2m = n Divide each side by '2'. m = 0.5n Simplifying m = 0.5n

Solution

m = {0.5n, 0.5n}

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