Verified answer

4y^2 + 12xy + 9x^2 = 0

(2y + 3x)^2 = 0

2y + 3x = 0

2y = -3x

y = (-3/2)x

4y^2 + 9x^2 + 12xy = 0

(2y + 3x)^2 = 0

2y + 3x = 0

y = 1,5x

(x = 2y/3)