3/(y-2)=15/y

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Solution for 3/(y-2)=15/y equation: 


D( y )

y = 0

y-2 = 0

y = 0

y = 0

y-2 = 0

y-2 = 0

y-2 = 0 // + 2

y = 2

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

3/(y-2) = 15/y // - 15/y

3/(y-2)-(15/y) = 0

3/(y-2)-15*y^-1 = 0

3/(y-2)-15/y = 0

(3*y)/(y*(y-2))+(-15*(y-2))/(y*(y-2)) = 0

3*y-15*(y-2) = 0

30-12*y = 0

(30-12*y)/(y*(y-2)) = 0

(30-12*y)/(y*(y-2)) = 0 // * y*(y-2)

30-12*y = 0

30-12*y = 0 // - 30

-12*y = -30 // : -12

y = -30/(-12)

y = 5/2

y = 5/2

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