12X^2-8LX+L^2=0

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Solution for 12X^2-8LX+L^2=0 equation: 


Simplifying
12X2 + -8LX + L2 = 0

Reorder the terms:
-8LX + L2 + 12X2 = 0

Solving
-8LX + L2 + 12X2 = 0

Solving for variable 'L'.

Factor a trinomial.
(L + -6X)(L + -2X) = 0


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

Simplifying
L + -6X = 0

Solving
L + -6X = 0

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

Add '6X' to each side of the equation.
L + -6X + 6X = 0 + 6X

Combine like terms: -6X + 6X = 0
L + 0 = 0 + 6X
L = 0 + 6X
Remove the zero:
L = 6X

Simplifying
L = 6X

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

Simplifying
L + -2X = 0

Solving
L + -2X = 0

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

Add '2X' to each side of the equation.
L + -2X + 2X = 0 + 2X

Combine like terms: -2X + 2X = 0
L + 0 = 0 + 2X
L = 0 + 2X
Remove the zero:
L = 2X

Simplifying
L = 2X
Solution
L = {6X, 2X}

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