((((((3/25)*x^8*z^4)^2)/(((1/4)*x^3*y^2)^5))*(((3/4)*x^5*y^3)^3)/((6/5)*x^4*z^2)^2))

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Solution for ((((((3/25)*x^8*z^4)^2)/(((1/4)*x^3*y^2)^5))*(((3/4)*x^5*y^3)^3)/((6/5)*x^4*z^2)^2)) equation:


D( x )

((1/4)*x^3*y^2)^5 = 0

((6/5)*x^4*z^2)^2 = 0

((1/4)*x^3*y^2)^5 = 0

((1/4)*x^3*y^2)^5 = 0

1/1024*x^15*y^10 = 0 // : 1/1024*y^10

x^15 = 0

x = 0

((6/5)*x^4*z^2)^2 = 0

((6/5)*x^4*z^2)^2 = 0

36/25*x^8*z^4 = 0 // : 36/25*z^4

x^8 = 0

x = 0

x in (-oo:0) U (0:+oo)

(((3/4)*x^5*y^3)^3*((((3/25)*x^8*z^4)^2)/(((1/4)*x^3*y^2)^5)))/(((6/5)*x^4*z^2)^2) = 0

108/25*x^8*y^-1*z^4 = 0 // : 108/25*y^-1*z^4

x^8 = 0

x = 0

x in { 0}

x belongs to the empty set

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