Can someone pls help me solve these simultaneous equations

[jade mango]

f(x,y) = 2x^3 -7x^2y + 5xy^2 - (x^2-3y^2) x - 2y*(x^2-3*y^2)

f(x,y) become homogeneous equation

f(x,y) = x^3 - 5x^2 * y + 8 * x y^2 - 6*y^3

for f(x,y) is homogeneous equation so f(x,y) is Irreducible polynomial， or two homo equation multiplication

f(x,y) = (x^2 - 2xy + 2y^2)(x - 3*y)

x^2-2x*y+ 2y^2 > 0

x=3y

so 6y^2 = 1