3/(2X-4)+2/(6-3X)

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Solution for 3/(2X-4)+2/(6-3X) equation: 


D( X )

2*X-4 = 0

6-(3*X) = 0

2*X-4 = 0

2*X-4 = 0

2*X-4 = 0 // + 4

2*X = 4 // : 2

X = 4/2

X = 2

6-(3*X) = 0

6-(3*X) = 0

6-3*X = 0

6-3*X = 0 // - 6

-3*X = -6 // : -3

X = -6/(-3)

X = 2

X in (-oo:2) U (2:+oo)

3/(2*X-4)+2/(6-(3*X)) = 0

3/(2*X-4)+2/(6-3*X) = 0

(3*(6-3*X))/((2*X-4)*(6-3*X))+(2*(2*X-4))/((2*X-4)*(6-3*X)) = 0

3*(6-3*X)+2*(2*X-4) = 0

10-5*X = 0

(10-5*X)/((2*X-4)*(6-3*X)) = 0

(10-5*X)/((2*X-4)*(6-3*X)) = 0 // * (2*X-4)*(6-3*X)

10-5*X = 0

10-5*X = 0 // - 10

-5*X = -10 // : -5

X = -10/(-5)

X = 2

X in { 2} 

X belongs to the empty set

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