9/(x-5)=8/(x+3)

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Solution for 9/(x-5)=8/(x+3) equation: 


D( x )

x-5 = 0

x+3 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:5) U (5:+oo)

9/(x-5) = 8/(x+3) // - 8/(x+3)

9/(x-5)-(8/(x+3)) = 0

9/(x-5)-8*(x+3)^-1 = 0

9/(x-5)-8/(x+3) = 0

(9*(x+3))/((x-5)*(x+3))+(-8*(x-5))/((x-5)*(x+3)) = 0

9*(x+3)-8*(x-5) = 0

x+67 = 0

(x+67)/((x-5)*(x+3)) = 0

(x+67)/((x-5)*(x+3)) = 0 // * (x-5)*(x+3)

x+67 = 0

x+67 = 0 // - 67

x = -67

x = -67

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