(12x^2)/(5x-10)*(x-2)/(18x)

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Solution for (12x^2)/(5x-10)*(x-2)/(18x) equation: 


D( x )

5*x-10 = 0

18*x = 0

5*x-10 = 0

5*x-10 = 0

5*x-10 = 0 // + 10

5*x = 10 // : 5

x = 10/5

x = 2

18*x = 0

18*x = 0

18*x = 0 // : 18

x = 0

x in (-oo:0) U (0:2) U (2:+oo)

(((12*x^2)/(5*x-10))*(x-2))/(18*x) = 0

(12*x^2*(x-2))/(18*x*(5*x-10)) = 0

( 12*x^2 )

12*x^2 = 0 // : 12

x^2 = 0

x = 0

( x-2 )

x-2 = 0 // + 2

x = 2

x in { 0} 

x in { 2} 

x belongs to the empty set

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