(6r-5)/(9r-3)=-1/3

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Solution for (6r-5)/(9r-3)=-1/3 equation: 


D( r )

9*r-3 = 0

9*r-3 = 0

9*r-3 = 0

9*r-3 = 0 // + 3

9*r = 3 // : 9

r = 3/9

r = 1/3

r in (-oo:1/3) U (1/3:+oo)

(6*r-5)/(9*r-3) = -1/3 // + -1/3

(6*r-5)/(9*r-3)-(-1/3) = 0

(6*r-5)/(9*r-3)+1/3 = 0

(3*(6*r-5))/(3*(9*r-3))+(1*(9*r-3))/(3*(9*r-3)) = 0

3*(6*r-5)+1*(9*r-3) = 0

27*r-18 = 0

(27*r-18)/(3*(9*r-3)) = 0

(27*r-18)/(3*(9*r-3)) = 0 // * 3*(9*r-3)

27*r-18 = 0

27*r-18 = 0 // + 18

27*r = 18 // : 27

r = 18/27

r = 2/3

r = 2/3

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