(x+2)/(x+3)=(x-2)/(x+1)

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Solution for (x+2)/(x+3)=(x-2)/(x+1) 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+2)/(x+3) = (x-2)/(x+1) // - (x-2)/(x+1)

(x+2)/(x+3)-((x-2)/(x+1)) = 0

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

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

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

2*x+8 = 0

(2*x+8)/((x+3)*(x+1)) = 0

(2*x+8)/((x+3)*(x+1)) = 0 // * (x+3)*(x+1)

2*x+8 = 0

2*x+8 = 0 // - 8

2*x = -8 // : 2

x = -8/2

x = -4

x = -4

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