4x^2-8ax+3a^2=0

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Solution for 4x^2-8ax+3a^2=0 equation: 


Simplifying
4x2 + -8ax + 3a2 = 0

Reorder the terms:
-8ax + 3a2 + 4x2 = 0

Solving
-8ax + 3a2 + 4x2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -2x)(3a + -2x) = 0


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

Simplifying
a + -2x = 0

Solving
a + -2x = 0

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

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

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

Simplifying
a = 2x

Subproblem 2
Set the factor '(3a + -2x)' equal to zero and attempt to solve:

Simplifying
3a + -2x = 0

Solving
3a + -2x = 0

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

Add '2x' to each side of the equation.
3a + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
3a + 0 = 0 + 2x
3a = 0 + 2x
Remove the zero:
3a = 2x

Divide each side by '3'.
a = 0.6666666667x

Simplifying
a = 0.6666666667x
Solution
a = {2x, 0.6666666667x}

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