(5/(x-5))/(30/(5x-25))

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Solution for (5/(x-5))/(30/(5x-25)) equation: 


D( x )

x-5 = 0

5*x-25 = 0

30/(5*x-25) = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

5*x-25 = 0

5*x-25 = 0

5*x-25 = 0 // + 25

5*x = 25 // : 5

x = 25/5

x = 5

30/(5*x-25) = 0

30/(5*x-25) = 0

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

(5/(x-5))/(30/(5*x-25)) = 0

(5*(5*x-25))/(30*(x-5)) = 0

5*x-25 = 0 // + 25

5*x = 25 // : 5

x = 25/5

x = 5

x in { 5} 

x belongs to the empty set

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