8(w+2(208/w))+5w

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Solution for 8(w+2(208/w))+5w equation: 


D( w )

w = 0

w = 0

w = 0

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

8*(w+2*(208/w))+5*w = 0

8*(w+416*w^-1)+5*w = 0

8*(w+416*w^-1)+5*w = 0

13*w+3328*w^-1 = 0

13*w+3328*w^-1 = 0

13*w*(256*w^-2+1) = 0

256*w^-2 = -1 // : 256

w^-2 = -1/256

-2 < 0

1/(w^2) = -1/256 // * w^2

1 = -1/256*w^2 // : -1/256

-256 = w^2

13*w = 0

13*w = 0

13*w = 0 // : 13

w = 0

w in { 0} 

w belongs to the empty set

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