3A^2-4AB+B^2=0

Solution for 3A^2-4AB+B^2=0 equation:

Simplifying
3A2 + -4AB + B2 = 0

Reorder the terms:
-4AB + 3A2 + B2 = 0

Solving
-4AB + 3A2 + B2 = 0

Solving for variable 'A'.

Factor a trinomial.
(A + -1B)(3A + -1B) = 0

Subproblem 1
Set the factor '(A + -1B)' equal to zero and attempt to solve:

Simplifying
A + -1B = 0

Solving
A + -1B = 0

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

Add 'B' to each side of the equation.
A + -1B + B = 0 + B

Combine like terms: -1B + B = 0
A + 0 = 0 + B
A = 0 + B
Remove the zero:
A = B

Simplifying
A = B
Subproblem 2
Set the factor '(3A + -1B)' equal to zero and attempt to solve:

Simplifying
3A + -1B = 0

Solving
3A + -1B = 0

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

Add 'B' to each side of the equation.
3A + -1B + B = 0 + B

Combine like terms: -1B + B = 0
3A + 0 = 0 + B
3A = 0 + B
Remove the zero:
3A = B

Divide each side by '3'.
A = 0.3333333333B

Simplifying
A = 0.3333333333B
Solution
A = {B, 0.3333333333B}