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

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Solution for 5/(5-x)-6/(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)-(6/(x-9)) = 0

5/(5-x)-6*(x-9)^-1 = 0

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

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

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

11*x-75 = 0

(11*x-75)/((5-x)*(x-9)) = 0

(11*x-75)/((5-x)*(x-9)) = 0 // * (5-x)*(x-9)

11*x-75 = 0

11*x-75 = 0 // + 75

11*x = 75 // : 11

x = 75/11

x = 75/11

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