10/(5r-4)=9/r

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Solution for 10/(5r-4)=9/r equation: 


D( r )

r = 0

5*r-4 = 0

r = 0

r = 0

5*r-4 = 0

5*r-4 = 0

5*r-4 = 0 // + 4

5*r = 4 // : 5

r = 4/5

r in (-oo:0) U (0:4/5) U (4/5:+oo)

10/(5*r-4) = 9/r // - 9/r

10/(5*r-4)-(9/r) = 0

10/(5*r-4)-9*r^-1 = 0

10/(5*r-4)-9/r = 0

(10*r)/(r*(5*r-4))+(-9*(5*r-4))/(r*(5*r-4)) = 0

10*r-9*(5*r-4) = 0

36-35*r = 0

(36-35*r)/(r*(5*r-4)) = 0

(36-35*r)/(r*(5*r-4)) = 0 // * r*(5*r-4)

36-35*r = 0

36-35*r = 0 // - 36

-35*r = -36 // : -35

r = -36/(-35)

r = 36/35

r = 36/35

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