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

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


Simplifying
x3 + y2 + -2ay2 = 0

Reorder the terms:
-2ay2 + x3 + y2 = 0

Solving
-2ay2 + x3 + y2 = 0

Solving for variable 'a'.

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

Add '-1x3' to each side of the equation.
-2ay2 + x3 + -1x3 + y2 = 0 + -1x3

Combine like terms: x3 + -1x3 = 0
-2ay2 + 0 + y2 = 0 + -1x3
-2ay2 + y2 = 0 + -1x3
Remove the zero:
-2ay2 + y2 = -1x3

Add '-1y2' to each side of the equation.
-2ay2 + y2 + -1y2 = -1x3 + -1y2

Combine like terms: y2 + -1y2 = 0
-2ay2 + 0 = -1x3 + -1y2
-2ay2 = -1x3 + -1y2

Divide each side by '-2y2'.
a = 0.5x3y-2 + 0.5

Simplifying
a = 0.5x3y-2 + 0.5

Reorder the terms:
a = 0.5 + 0.5x3y-2

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