((x^2-2x-3)/(x^2-3x+2))((x-2)/(3x-9))

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Solution for ((x^2-2x-3)/(x^2-3x+2))((x-2)/(3x-9)) equation: 


D( x )

3*x-9 = 0

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

3*x-9 = 0

3*x-9 = 0

3*x-9 = 0 // + 9

3*x = 9 // : 3

x = 9/3

x = 3

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

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

x^2-3*x+2 = 0

x^2-3*x+2 = 0

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

DELTA = 1

DELTA > 0

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

x = 2 or x = 1

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

((x^2-(2*x)-3)/(x^2-(3*x)+2))*((x-2)/(3*x-9)) = 0

((x^2-2*x-3)/(x^2-3*x+2))*((x-2)/(3*x-9)) = 0

((x^2-2*x-3)*(x-2))/((x^2-3*x+2)*(3*x-9)) = 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^2-3*x+2 = 0

x^2-3*x+2 = 0

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

DELTA = 1

DELTA > 0

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

x = 2 or x = 1

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

((x+1)*(x-3))/((x-1)*(3*x-9)) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-3 )

x-3 = 0 // + 3

x = 3

x in { 3} 

x = -1

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