(x+2)/(x^2-x-2)*(x^2-3x+2)/(3x+6)

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Solution for (x+2)/(x^2-x-2)*(x^2-3x+2)/(3x+6) equation:


D( x )

3*x+6 = 0

x^2-x-2 = 0

3*x+6 = 0

3*x+6 = 0

3*x+6 = 0 // - 6

3*x = -6 // : 3

x = -6/3

x = -2

x^2-x-2 = 0

x^2-x-2 = 0

x^2-x-2 = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)+1)/(1*2) or x = (1-9^(1/2))/(1*2)

x = 2 or x = -1

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

(((x+2)/(x^2-x-2))*(x^2-(3*x)+2))/(3*x+6) = 0

(((x+2)/(x^2-x-2))*(x^2-3*x+2))/(3*x+6) = 0

((x+2)*(x^2-3*x+2))/((x^2-x-2)*(3*x+6)) = 0

x^2-x-2 = 0

x^2-x-2 = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)+1)/(1*2) or x = (1-9^(1/2))/(1*2)

x = 2 or x = -1

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

((x+2)*(x-1)*(x-2))/((x+1)*(x-2)*(3*x+6)) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-1 )

x-1 = 0 // + 1

x = 1

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -2}

x in { 2}

x = 1

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