3/(w-2)-8/w=5/w

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Solution for 3/(w-2)-8/w=5/w equation: 


D( w )

w-2 = 0

w = 0

w-2 = 0

w-2 = 0

w-2 = 0 // + 2

w = 2

w = 0

w = 0

w in (-oo:0) U (0:2) U (2:+oo)

3/(w-2)-(8/w) = 5/w // - 5/w

3/(w-2)-(8/w)-(5/w) = 0

3/(w-2)-8*w^-1-5*w^-1 = 0

3/(w-2)-8/w-5/w = 0

(3*w)/(w*(w-2))+(-8*(w-2))/(w*(w-2))+(-5*(w-2))/(w*(w-2)) = 0

3*w-8*(w-2)-5*(w-2) = 0

10-5*w-5*w+16 = 0

26-10*w = 0

(26-10*w)/(w*(w-2)) = 0

(26-10*w)/(w*(w-2)) = 0 // * w*(w-2)

26-10*w = 0

26-10*w = 0 // - 26

-10*w = -26 // : -10

w = -26/(-10)

w = 13/5

w = 13/5

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