6/(x-2)-3=y

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


D( x )

x-2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

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

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

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

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

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

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

2*y-3*x-(x*y)+12 = 0

(2*y-3*x-(x*y)+12)/(x-2) = 0

(2*y-3*x-(x*y)+12)/(x-2) = 0 // * x-2

2*y-3*x-(x*y)+12 = 0

2*y-3*x+12 = 0 // - 2*y+12

-3*x = -(2*y+12) // : -3

x = (-(2*y+12))/(-3)

x = (2*y+12)/3

x = (2*y+12)/3

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