12x^2-8kx+k^2=0

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Solution for 12x^2-8kx+k^2=0 equation: 


Simplifying
12x2 + -8kx + k2 = 0

Reorder the terms:
-8kx + k2 + 12x2 = 0

Solving
-8kx + k2 + 12x2 = 0

Solving for variable 'k'.

Factor a trinomial.
(k + -6x)(k + -2x) = 0


Subproblem 1
Set the factor '(k + -6x)' equal to zero and attempt to solve:

Simplifying
k + -6x = 0

Solving
k + -6x = 0

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

Add '6x' to each side of the equation.
k + -6x + 6x = 0 + 6x

Combine like terms: -6x + 6x = 0
k + 0 = 0 + 6x
k = 0 + 6x
Remove the zero:
k = 6x

Simplifying
k = 6x

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

Simplifying
k + -2x = 0

Solving
k + -2x = 0

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

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

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

Simplifying
k = 2x
Solution
k = {6x, 2x}

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