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

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


D( x )

x+7 = 0

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

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

6/(x-5)-(-6/(x+7)) = 0

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

6/(x-5)+6/(x+7) = 0

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

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

12*x+12 = 0

(12*x+12)/((x-5)*(x+7)) = 0

(12*x+12)/((x-5)*(x+7)) = 0 // * (x-5)*(x+7)

12*x+12 = 0

12*x+12 = 0 // - 12

12*x = -12 // : 12

x = -12/12

x = -1

x = -1

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