y^2-3ay+2a^2=0

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Solution for y^2-3ay+2a^2=0 equation: 


Simplifying
y2 + -3ay + 2a2 = 0

Reorder the terms:
-3ay + 2a2 + y2 = 0

Solving
-3ay + 2a2 + y2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -1y)(2a + -1y) = 0


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

Simplifying
a + -1y = 0

Solving
a + -1y = 0

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

Add 'y' to each side of the equation.
a + -1y + y = 0 + y

Combine like terms: -1y + y = 0
a + 0 = 0 + y
a = 0 + y
Remove the zero:
a = y

Simplifying
a = y

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

Simplifying
2a + -1y = 0

Solving
2a + -1y = 0

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

Add 'y' to each side of the equation.
2a + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2a + 0 = 0 + y
2a = 0 + y
Remove the zero:
2a = y

Divide each side by '2'.
a = 0.5y

Simplifying
a = 0.5y
Solution
a = {y, 0.5y}

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