(x-5)/(x+1)=(x+1)/(x+3)

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Solution for (x-5)/(x+1)=(x+1)/(x+3) equation:


D( x )

x+1 = 0

x+3 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:-1) U (-1:+oo)

(x-5)/(x+1) = (x+1)/(x+3) // - (x+1)/(x+3)

(x-5)/(x+1)-((x+1)/(x+3)) = 0

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

((x-5)*(x+3))/((x+1)*(x+3))+(-1*(x+1)^2)/((x+1)*(x+3)) = 0

(x-5)*(x+3)-1*(x+1)^2 = 0

-4*x-16 = 0

(-4*x-16)/((x+1)*(x+3)) = 0

(-4*x-16)/((x+1)*(x+3)) = 0 // * (x+1)*(x+3)

-4*x-16 = 0

-4*x-16 = 0 // + 16

-4*x = 16 // : -4

x = 16/(-4)

x = -4

x = -4

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