(3x-15)/(x-5)

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Solution for (3x-15)/(x-5) equation: 


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

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

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

3*x-15 = 0 // + 15

3*x = 15 // : 3

x = 15/3

x = 5

x in { 5} 

x belongs to the empty set

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