(x-2)/(x-3)*(4x-6)/(x^2-4)

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Solution for (x-2)/(x-3)*(4x-6)/(x^2-4) equation: 


D( x )

x^2-4 = 0

x-3 = 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-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

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

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

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

( 4*x-6 )

4*x-6 = 0 // + 6

4*x = 6 // : 4

x = 6/4

x = 3/2

( x-2 )

x-2 = 0 // + 2

x = 2

x in { 2} 

x = 3/2

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