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

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


D( x )

x+1 = 0

x-8 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x-8 = 0

x-8 = 0

x-8 = 0 // + 8

x = 8

x in (-oo:-1) U (-1:8) U (8:+oo)

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

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

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

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

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

-3*x-12 = 0

(-3*x-12)/((x+1)*(x-8)) = 0

(-3*x-12)/((x+1)*(x-8)) = 0 // * (x+1)*(x-8)

-3*x-12 = 0

-3*x-12 = 0 // + 12

-3*x = 12 // : -3

x = 12/(-3)

x = -4

x = -4

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