9/(x+2)=3/(x-2)

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Solution for 9/(x+2)=3/(x-2) equation: 


D( x )

x-2 = 0

x+2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x in (-oo:-2) U (-2:2) U (2:+oo)

9/(x+2) = 3/(x-2) // - 3/(x-2)

9/(x+2)-(3/(x-2)) = 0

9/(x+2)-3*(x-2)^-1 = 0

9/(x+2)-3/(x-2) = 0

(9*(x-2))/((x+2)*(x-2))+(-3*(x+2))/((x+2)*(x-2)) = 0

9*(x-2)-3*(x+2) = 0

6*x-24 = 0

(6*x-24)/((x+2)*(x-2)) = 0

(6*x-24)/((x+2)*(x-2)) = 0 // * (x+2)*(x-2)

6*x-24 = 0

6*x-24 = 0 // + 24

6*x = 24 // : 6

x = 24/6

x = 4

x = 4

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