(5/(5-x))-(1/(x-9))=0

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Solution for (5/(5-x))-(1/(x-9))=0 equation: 


D( x )

5-x = 0

x-9 = 0

5-x = 0

5-x = 0

5-x = 0 // - 5

-x = -5 // * -1

x = 5

x-9 = 0

x-9 = 0

x-9 = 0 // + 9

x = 9

x in (-oo:5) U (5:9) U (9:+oo)

5/(5-x)-(1/(x-9)) = 0

5/(5-x)-(x-9)^-1 = 0

5/(5-x)-1/(x-9) = 0

(5*(x-9))/((5-x)*(x-9))+(-1*(5-x))/((5-x)*(x-9)) = 0

5*(x-9)-1*(5-x) = 0

6*x-50 = 0

(6*x-50)/((5-x)*(x-9)) = 0

(6*x-50)/((5-x)*(x-9)) = 0 // * (5-x)*(x-9)

6*x-50 = 0

6*x-50 = 0 // + 50

6*x = 50 // : 6

x = 50/6

x = 25/3

x = 25/3

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