(12x^3y4-6x^2y^2)/6x^2y^2

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Solution for (12x^3y4-6x^2y^2)/6x^2y^2 equation:


x in (-oo:+oo)

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

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

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

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

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

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

2*x*y^2 = 1 // : 2*y^2

x = 1/(2*y^2)

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

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

( 6*x^2*y^2 )

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

x^2 = 0

x = 0

( x-1/2*y^-2 )

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

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

x = 1/2*y^-2

( x^2*y^2 )

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

x^2 = 0

x = 0

x in { 0, 1/2*y^-2, 0 }

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