((w^2)-3w+6)/(w-5)+(9-(w^2))/(w-5)

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Solution for ((w^2)-3w+6)/(w-5)+(9-(w^2))/(w-5) equation: 


D( w )

w-5 = 0

w-5 = 0

w-5 = 0

w-5 = 0 // + 5

w = 5

w in (-oo:5) U (5:+oo)

(w^2-(3*w)+6)/(w-5)+(9-w^2)/(w-5) = 0

(w^2-3*w+6)/(w-5)+(9-w^2)/(w-5) = 0

w^2-w^2-3*w+6+9 = 0

15-3*w = 0

(15-3*w)/(w-5) = 0

(15-3*w)/(w-5) = 0 // * w-5

15-3*w = 0

15-3*w = 0 // - 15

-3*w = -15 // : -3

w = -15/(-3)

w = 5

w in { 5} 

w belongs to the empty set

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