(7x-14)/((x^2)+7x+12)*((x^2)-9)/(x-2)

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Solution for (7x-14)/((x^2)+7x+12)*((x^2)-9)/(x-2) equation: 


D( x )

x-2 = 0

x^2+7*x+12 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x^2+7*x+12 = 0

x^2+7*x+12 = 0

x^2+7*x+12 = 0

DELTA = 7^2-(1*4*12)

DELTA = 1

DELTA > 0

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

x = -3 or x = -4

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

(((7*x-14)/(x^2+7*x+12))*(x^2-9))/(x-2) = 0

((7*x-14)*(x^2-9))/((x^2+7*x+12)*(x-2)) = 0

x^2+7*x+12 = 0

x^2+7*x+12 = 0

DELTA = 7^2-(1*4*12)

DELTA = 1

DELTA > 0

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

x = -3 or x = -4

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

((7*x-14)*(x^2-9))/((x+4)*(x+3)*(x-2)) = 0

( 7*x-14 )

7*x-14 = 0 // + 14

7*x = 14 // : 7

x = 14/7

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 { 2} 

x in { -3} 

x = 3

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