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

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


Simplifying
x2 + -3ay + 2y2 = 0

Reorder the terms:
-3ay + x2 + 2y2 = 0

Solving
-3ay + x2 + 2y2 = 0

Solving for variable 'a'.

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

Add '-1x2' to each side of the equation.
-3ay + x2 + -1x2 + 2y2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
-3ay + 0 + 2y2 = 0 + -1x2
-3ay + 2y2 = 0 + -1x2
Remove the zero:
-3ay + 2y2 = -1x2

Add '-2y2' to each side of the equation.
-3ay + 2y2 + -2y2 = -1x2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-3ay + 0 = -1x2 + -2y2
-3ay = -1x2 + -2y2

Divide each side by '-3y'.
a = 0.3333333333x2y-1 + 0.6666666667y

Simplifying
a = 0.3333333333x2y-1 + 0.6666666667y

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