(-12x^3y^4+18x^2y^3+6x^2y^2)/6x^2y^2

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Solution for (-12x^3y^4+18x^2y^3+6x^2y^2)/6x^2y^2 equation: 


x in (-oo:+oo)

x^2*y^2*((18*x^2*y^3-12*x^3*y^4+6*x^2*y^2)/6) = 0

(x^2*y^2*(18*x^2*y^3-12*x^3*y^4+6*x^2*y^2))/6 = 0

( 18*x^2*y^3-12*x^3*y^4+6*x^2*y^2 )

18*x^2*y^3-12*x^3*y^4+6*x^2*y^2 = 0

6*x^2*y^2*(3*y-2*x*y^2+1) = 0

3*y-2*x*y^2+1 = 0 // - 3*y+1

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

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

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

6*x^2*y^2 = 0

6*x^2*y^2 = 0 // : 6*y^2

x^2 = 0

x = 0

( x^2*y^2 )

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

x^2 = 0

x = 0

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

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