5/(x-5)=(-6/(x+7))+(27/((X-5)(x+7)))

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Solution for 5/(x-5)=(-6/(x+7))+(27/((X-5)(x+7))) equation: 


D( x )

x+7 = 0

x-5 = 0

(X-5)*(x+7) = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

(X-5)*(x+7) = 0

(X-5)*(x+7) = 0

x+7 = 0 // - 7

x = -7

x in (-oo:-7) U (-7:5) U (5:+oo)

5/(x-5) = 27/((X-5)*(x+7))-6/(x+7) // - 27/((X-5)*(x+7))-6/(x+7)

5/(x-5)-(-6/(x+7))-(27/((X-5)*(x+7))) = 0

5/(x-5)+6*(x+7)^-1-27*(X-5)^-1*(x+7)^-1 = 0

5/(x-5)+6/(x+7)-27/((X-5)*(x+7)) = 0

(5*(x+7)*(X-5))/((x-5)*(x+7)*(X-5))+(6*(x-5)*(X-5))/((x-5)*(x+7)*(X-5))+(-27*(x-5))/((x-5)*(x+7)*(X-5)) = 0

5*(x+7)*(X-5)+6*(x-5)*(X-5)-27*(x-5) = 0

11*X*x+5*X-55*x-27*x-25+135 = 0

11*X*x+5*X-82*x+110 = 0

(11*X*x+5*X-82*x+110)/((x-5)*(x+7)*(X-5)) = 0

(11*X*x+5*X-82*x+110)/((x-5)*(x+7)*(X-5)) = 0 // * (x-5)*(x+7)*(X-5)

11*X*x+5*X-82*x+110 = 0

5*X-82*x+110 = 0 // - 5*X+110

-82*x = -(5*X+110) // : -82

x = (-(5*X+110))/(-82)

x = (5*X+110)/82

x = (5*X+110)/82

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