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

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


D( w )

w-3 = 0

w-3 = 0

w-3 = 0

w-3 = 0 // + 3

w = 3

w in (-oo:3) U (3:+oo)

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

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

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

3/(w-3)+(-1*w)/(w-3)-3/5 = 0

(3*5)/(5*(w-3))+(-1*5*w)/(5*(w-3))+(-3*(w-3))/(5*(w-3)) = 0

3*5-3*(w-3)-1*5*w = 0

9-5*w-3*w+15 = 0

24-8*w = 0

(24-8*w)/(5*(w-3)) = 0

(24-8*w)/(5*(w-3)) = 0 // * 5*(w-3)

24-8*w = 0

24-8*w = 0 // - 24

-8*w = -24 // : -8

w = -24/(-8)

w = 3

w in { 3} 

w belongs to the empty set

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