(12x-12)/(9x-8)=(3x-4)/(9x-8)

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Solution for (12x-12)/(9x-8)=(3x-4)/(9x-8) equation: 


D( x )

9*x-8 = 0

9*x-8 = 0

9*x-8 = 0

9*x-8 = 0 // + 8

9*x = 8 // : 9

x = 8/9

x in (-oo:8/9) U (8/9:+oo)

(12*x-12)/(9*x-8) = (3*x-4)/(9*x-8) // - (3*x-4)/(9*x-8)

(12*x-12)/(9*x-8)-((3*x-4)/(9*x-8)) = 0

(12*x-12)/(9*x-8)+(-1*(3*x-4))/(9*x-8) = 0

12*x-1*(3*x-4)-12 = 0

9*x-8 = 0

(9*x-8)/(9*x-8) = 0

(9*x-8)/(9*x-8) = 0 // * 9*x-8

9*x-8 = 0

9*x-8 = 0 // + 8

9*x = 8 // : 9

x = 8/9

x in { 8/9} 

x belongs to the empty set

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