((3x-9)(6x+18))/((5x+15)(10x-30))

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Solution for ((3x-9)(6x+18))/((5x+15)(10x-30)) equation: 


D( x )

(5*x+15)*(10*x-30) = 0

(5*x+15)*(10*x-30) = 0

(5*x+15)*(10*x-30) = 0

( 10*x-30 )

10*x-30 = 0 // + 30

10*x = 30 // : 10

x = 30/10

x = 3

( 5*x+15 )

5*x+15 = 0 // - 15

5*x = -15 // : 5

x = -15/5

x = -3

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

((3*x-9)*(6*x+18))/((5*x+15)*(10*x-30)) = 0

( 3*x-9 )

3*x-9 = 0 // + 9

3*x = 9 // : 3

x = 9/3

x = 3

( 6*x+18 )

6*x+18 = 0 // - 18

6*x = -18 // : 6

x = -18/6

x = -3

x in { 3} 

x in { -3} 

x belongs to the empty set

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