((13)/(x-13)+1)=(x)/(x+13)

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Solution for ((13)/(x-13)+1)=(x)/(x+13) equation: 


D( x )

x+13 = 0

x-13 = 0

x+13 = 0

x+13 = 0

x+13 = 0 // - 13

x = -13

x-13 = 0

x-13 = 0

x-13 = 0 // + 13

x = 13

x in (-oo:-13) U (-13:13) U (13:+oo)

13/(x-13)+1 = x/(x+13) // - x/(x+13)

13/(x-13)-(x/(x+13))+1 = 0

13/(x-13)+(-1*x)/(x+13)+1 = 0

(13*(x+13))/((x-13)*(x+13))+(-1*x*(x-13))/((x-13)*(x+13))+(1*(x-13)*(x+13))/((x-13)*(x+13)) = 0

13*(x+13)-1*x*(x-13)+1*(x-13)*(x+13) = 0

x^2-x^2+26*x-169+169 = 0

26*x = 0

(26*x)/((x-13)*(x+13)) = 0

(26*x)/((x-13)*(x+13)) = 0 // * (x-13)*(x+13)

26*x = 0

26*x = 0 // : 26

x = 0

x = 0

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