(x+4)/(x-2)=(x+2)/(x+8)

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Solution for (x+4)/(x-2)=(x+2)/(x+8) equation: 


D( x )

x-2 = 0

x+8 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x+8 = 0

x+8 = 0

x+8 = 0 // - 8

x = -8

x in (-oo:-8) U (-8:2) U (2:+oo)

(x+4)/(x-2) = (x+2)/(x+8) // - (x+2)/(x+8)

(x+4)/(x-2)-((x+2)/(x+8)) = 0

(x+4)/(x-2)+(-1*(x+2))/(x+8) = 0

((x+4)*(x+8))/((x-2)*(x+8))+(-1*(x+2)*(x-2))/((x-2)*(x+8)) = 0

(x+4)*(x+8)-1*(x+2)*(x-2) = 0

12*x+36 = 0

(12*x+36)/((x-2)*(x+8)) = 0

(12*x+36)/((x-2)*(x+8)) = 0 // * (x-2)*(x+8)

12*x+36 = 0

12*x+36 = 0 // - 36

12*x = -36 // : 12

x = -36/12

x = -3

x = -3

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