(6x-12)/(x-10)-(4x+8)/(x-10)

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Solution for (6x-12)/(x-10)-(4x+8)/(x-10) equation: 


D( x )

x-10 = 0

x-10 = 0

x-10 = 0

x-10 = 0 // + 10

x = 10

x in (-oo:10) U (10:+oo)

(6*x-12)/(x-10)-((4*x+8)/(x-10)) = 0

(6*x-12)/(x-10)+(-1*(4*x+8))/(x-10) = 0

6*x-1*(4*x+8)-12 = 0

2*x-20 = 0

(2*x-20)/(x-10) = 0

(2*x-20)/(x-10) = 0 // * x-10

2*x-20 = 0

2*x-20 = 0 // + 20

2*x = 20 // : 2

x = 20/2

x = 10

x in { 10} 

x belongs to the empty set

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