0=3yx^2-y^3

Solution for 0=3yx^2-y^3 equation:

Simplifying
0 = 3yx2 + -1y3

Solving
0 = 3x2y + -1y3

Solving for variable 'x'.

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

Add '-3x2y' to each side of the equation.
0 + -3x2y = 3x2y + -3x2y + -1y3
Remove the zero:
-3x2y = 3x2y + -3x2y + -1y3

Combine like terms: 3x2y + -3x2y = 0
-3x2y = 0 + -1y3
-3x2y = -1y3

Divide each side by '-3y'.
x2 = 0.3333333333y2

Simplifying
x2 = 0.3333333333y2

Take the square root of each side:
x = {-0.577350269y, 0.577350269y}