(54x^4y^6)^(1/3)-(24x^3y^9)^(1/3)+(128x^4y^6)^(1/3)

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Solution for (54x^4y^6)^(1/3)-(24x^3y^9)^(1/3)+(128x^4y^6)^(1/3) equation: 


x in (-oo:+oo)

(54*x^4*y^6)^(1/3)-(24*x^3*y^9)^(1/3)+(128*x^4*y^6)^(1/3) = 0

7*2^(1/3)*x^(4/3)*y^2-(x*y^3) = 0

x*y^2*(7*2^(1/3)*x^(1/3)-y) = 0

7*2^(1/3)*x^(1/3) = y // : 7*2^(1/3)

x^(1/3) = y/(7*2^(1/3))

x^(1/3) = y/(7*2^(1/3)) // ^ 3

x = (y^3)/686

x*y^2 = 0

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

x = 0

x in { (y^3)/686, 0 }

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