4x^2-4mx+m^2=0

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Solution for 4x^2-4mx+m^2=0 equation: 


Simplifying
4x2 + -4mx + m2 = 0

Reorder the terms:
-4mx + m2 + 4x2 = 0

Solving
-4mx + m2 + 4x2 = 0

Solving for variable 'm'.

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


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

Simplifying
m + -2x = 0

Solving
m + -2x = 0

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

Add '2x' to each side of the equation.
m + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
m + 0 = 0 + 2x
m = 0 + 2x
Remove the zero:
m = 2x

Simplifying
m = 2x

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

Simplifying
m + -2x = 0

Solving
m + -2x = 0

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

Add '2x' to each side of the equation.
m + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
m + 0 = 0 + 2x
m = 0 + 2x
Remove the zero:
m = 2x

Simplifying
m = 2x
Solution
m = {2x, 2x}

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