3y^3-27x^2y=0

Solution for 3y^3-27x^2y=0 equation:

Simplifying
3y3 + -27x2y = 0

Reorder the terms:
-27x2y + 3y3 = 0

Solving
-27x2y + 3y3 = 0

Solving for variable 'x'.

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

Add '-3y3' to each side of the equation.
-27x2y + 3y3 + -3y3 = 0 + -3y3

Combine like terms: 3y3 + -3y3 = 0
-27x2y + 0 = 0 + -3y3
-27x2y = 0 + -3y3
Remove the zero:
-27x2y = -3y3

Divide each side by '-27y'.
x2 = 0.1111111111y2

Simplifying
x2 = 0.1111111111y2

Take the square root of each side:
x = {-0.333333333y, 0.333333333y}