(x+3)/(3x+3)/(x+2)/(x^2-2x-3)

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Solution for (x+3)/(3x+3)/(x+2)/(x^2-2x-3) equation: 


D( x )

x+2 = 0

3*x+3 = 0

x^2-(2*x)-3 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

3*x+3 = 0

3*x+3 = 0

3*x+3 = 0 // - 3

3*x = -3 // : 3

x = -3/3

x = -1

x^2-(2*x)-3 = 0

x^2-(2*x)-3 = 0

x^2-2*x-3 = 0

x^2-2*x-3 = 0

DELTA = (-2)^2-(-3*1*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)+2)/(1*2) or x = (2-16^(1/2))/(1*2)

x = 3 or x = -1

x in (-oo:-2) U (-2:-1) U (-1:3) U (3:+oo)

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

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

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

x^2-2*x-3 = 0

x^2-2*x-3 = 0

DELTA = (-2)^2-(-3*1*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)+2)/(1*2) or x = (2-16^(1/2))/(1*2)

x = 3 or x = -1

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

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

x+3 = 0 // - 3

x = -3

x = -3

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