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

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Solution for (x-1)/(x-2)=(x+4)/(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-1)/(x-2) = (x+4)/(x+8) // - (x+4)/(x+8)

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

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

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

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

5*x = 0

(5*x)/((x-2)*(x+8)) = 0

(5*x)/((x-2)*(x+8)) = 0 // * (x-2)*(x+8)

5*x = 0

5*x = 0 // : 5

x = 0

x = 0

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