(x-2)/(3x+9)*(x+3)(x+1)/(x-3)

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Solution for (x-2)/(3x+9)*(x+3)(x+1)/(x-3) equation:


D( x )

x-3 = 0

3*x+9 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

3*x+9 = 0

3*x+9 = 0

3*x+9 = 0 // - 9

3*x = -9 // : 3

x = -9/3

x = -3

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

(((x-2)/(3*x+9))*(x+3)*(x+1))/(x-3) = 0

((x-2)*(x+3)*(x+1))/((3*x+9)*(x-3)) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x+3 )

x+3 = 0 // - 3

x = -3

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -3}

x in { -1, 2 }

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