z-8/z-2=z

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Solution for z-8/z-2=z equation: 


D( z )

z = 0

z = 0

z = 0

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

z-(8/z)-2 = z // - z

z-z-(8/z)-2 = 0

z-z-8*z^-1-2 = 0

-8*z^-1 = 2 // : -8

z^-1 = -1/4

-1 < 0

1/(z^1) = -1/4 // * z^1

1 = -1/4*z^1 // : -1/4

-4 = z^1

z = -4

z = -4

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