2z^3+16z/z^5

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Solution for 2z^3+16z/z^5 equation: 


D( z )

z^5 = 0

z^5 = 0

z^5 = 0

1*z^5 = 0 // : 1

z^5 = 0

z = 0

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

2*z^3+(16*z)/(z^5) = 0

2*z^3+16*z^-4 = 0

2*z^3*(8*z^-7+1) = 0

8*z^-7 = -1 // : 8

z^-7 = -1/8

-7 < 0

1/(z^7) = -1/8 // * z^7

1 = -1/8*z^7 // : -1/8

-8 = z^7

z^7 = -8 // ^ 1/7

z = -8^(1/7)

2*z^3 = 0

2*z^3 = 0 // : 2

z^3 = 0

z = 0

z in { 0} 

z = -8^(1/7)

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