3/x=-6/(x-2)

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Solution for 3/x=-6/(x-2) equation: 


D( x )

x-2 = 0

x = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x = 0

x = 0

x in (-oo:0) U (0:2) U (2:+oo)

3/x = -6/(x-2) // + -6/(x-2)

3/x-(-6/(x-2)) = 0

6*(x-2)^-1+3/x = 0

6/(x-2)+3/x = 0

(6*x)/(x*(x-2))+(3*(x-2))/(x*(x-2)) = 0

3*(x-2)+6*x = 0

9*x-6 = 0

(9*x-6)/(x*(x-2)) = 0

(9*x-6)/(x*(x-2)) = 0 // * x*(x-2)

9*x-6 = 0

9*x-6 = 0 // + 6

9*x = 6 // : 9

x = 6/9

x = 2/3

x = 2/3

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