(3/(2x-6))/(5/(4x-12))

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Solution for (3/(2x-6))/(5/(4x-12)) equation: 


D( x )

4*x-12 = 0

5/(4*x-12) = 0

2*x-6 = 0

4*x-12 = 0

4*x-12 = 0

4*x-12 = 0 // + 12

4*x = 12 // : 4

x = 12/4

x = 3

5/(4*x-12) = 0

5/(4*x-12) = 0

5 = 0

x belongs to the empty set

2*x-6 = 0

2*x-6 = 0

2*x-6 = 0 // + 6

2*x = 6 // : 2

x = 6/2

x = 3

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

(3/(2*x-6))/(5/(4*x-12)) = 0

(3*(4*x-12))/(5*(2*x-6)) = 0

( 3 )

3 = 0

x belongs to the empty set

( 4*x-12 )

4*x-12 = 0 // + 12

4*x = 12 // : 4

x = 12/4

x = 3

x in { 3} 

x belongs to the empty set

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