((x^2+x-6)/(x^2-4))*((x^2-9)/(x^2+6x+9))

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Solution for ((x^2+x-6)/(x^2-4))*((x^2-9)/(x^2+6x+9)) equation: 


D( x )

x^2-4 = 0

x^2+6*x+9 = 0

x^2-4 = 0

x^2-4 = 0

1*x^2 = 4 // : 1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

x^2+6*x+9 = 0

x^2+6*x+9 = 0

x^2+6*x+9 = 0

DELTA = 6^2-(1*4*9)

DELTA = 0

x = -6/(1*2)

x = -3 or x = -3

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

((x^2+x-6)/(x^2-4))*((x^2-9)/(x^2+6*x+9)) = 0

((x^2+x-6)*(x^2-9))/((x^2-4)*(x^2+6*x+9)) = 0

x^2+x-6 = 0

x^2+x-6 = 0

DELTA = 1^2-(-6*1*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)-1)/(1*2) or x = (-25^(1/2)-1)/(1*2)

x = 2 or x = -3

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

x^2+6*x+9 = 0

x^2+6*x+9 = 0

DELTA = 6^2-(1*4*9)

DELTA = 0

x = -6/(1*2)

x = -3 or x = -3

(x+3)^2 = 0

((x+3)*(x-2)*(x^2-9))/((x^2-4)*(x+3)^2) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-2 )

x-2 = 0 // + 2

x = 2

( x^2-9 )

1*x^2 = 9 // : 1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x in { -3} 

x in { 2} 

x in { -3} 

x = 3

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