24x6y2+16x4y3+8x2y4/4x2y

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Solution for 24x6y2+16x4y3+8x2y4/4x2y equation: 


x in (-oo:+oo)

x^2*((8*x^2*y^4)/4)*y+16*x^4*y^3+24*x^6*y^2 = 0

2*x^4*y^5+16*x^4*y^3+24*x^6*y^2 = 0

2*x^4*y^2*(12*x^2+y^3+8*y) = 0

12*x^2 = -(y^3+8*y) // : 12

x^2 = (-(y^3+8*y))/12

x^2 = (-(y^3+8*y))/12 // ^ 1/2

abs(x) = ((-(y^3+8*y))^(1/2))/(2*3^(1/2))

x = ((-(y^3+8*y))^(1/2))/(2*3^(1/2)) or x = -(((-(y^3+8*y))^(1/2))/(2*3^(1/2)))

2*x^4*y^2 = 0

2*x^4*y^2 = 0 // : 2*y^2

x^4 = 0

x = 0

x in { ((-(y^3+8*y))^(1/2))/(2*3^(1/2)), -(((-(y^3+8*y))^(1/2))/(2*3^(1/2))), 0 }

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