(1/9-6/y)/(5/12y-y)

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Solution for (1/9-6/y)/(5/12y-y) equation: 


D( y )

y = 0

(5/12)*y-y = 0

y = 0

y = 0

(5/12)*y-y = 0

(5/12)*y-y = 0

-7/12*y = 0 // : -7/12

y = 0

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

(1/9-(6/y))/((5/12)*y-y) = 0

(1/9-6*y^-1)/((5/12)*y-y) = 0

(1/9-6*y^-1)/(-7/12*y) = 0

-6*y^-1 = -1/9 // : -6

y^-1 = 1/54

-1 < 0

1/(y^1) = 1/54 // * y^1

1 = 1/54*y^1 // : 1/54

54 = y^1

y = 54

y = 54

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