((x^2-9)/(x^2-4))*(x^2+7x+10)/(x^2+x-12)

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Solution for ((x^2-9)/(x^2-4))*(x^2+7x+10)/(x^2+x-12) equation: 


D( x )

x^2-4 = 0

x^2+x-12 = 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+x-12 = 0

x^2+x-12 = 0

x^2+x-12 = 0

DELTA = 1^2-(-12*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-1)/(1*2) or x = (-49^(1/2)-1)/(1*2)

x = 3 or x = -4

x in (-oo:-4) U (-4:-2) U (-2:2) U (2:3) U (3:+oo)

(((x^2-9)/(x^2-4))*(x^2+7*x+10))/(x^2+x-12) = 0

((x^2-9)*(x^2+7*x+10))/((x^2-4)*(x^2+x-12)) = 0

x^2+7*x+10 = 0

x^2+7*x+10 = 0

DELTA = 7^2-(1*4*10)

DELTA = 9

DELTA > 0

x = (9^(1/2)-7)/(1*2) or x = (-9^(1/2)-7)/(1*2)

x = -2 or x = -5

(x+5)*(x+2) = 0

x^2+x-12 = 0

x^2+x-12 = 0

DELTA = 1^2-(-12*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-1)/(1*2) or x = (-49^(1/2)-1)/(1*2)

x = 3 or x = -4

(x+4)*(x-3) = 0

((x^2-9)*(x+5)*(x+2))/((x^2-4)*(x+4)*(x-3)) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x+5 )

x+5 = 0 // - 5

x = -5

( 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 { -2} 

x in { 3} 

x in { -5, -3 }

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