(r+2)/r=(3r-6)/r+(2/(5r))

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Solution for (r+2)/r=(3r-6)/r+(2/(5r)) equation:


D( r )

r = 0

5*r = 0

r = 0

r = 0

5*r = 0

5*r = 0

5*r = 0 // : 5

r = 0

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

(r+2)/r = (3*r-6)/r+2/(5*r) // - (3*r-6)/r+2/(5*r)

(r+2)/r-((3*r-6)/r)-(2/(5*r)) = 0

(r+2)/r-((3*r-6)/r)+(-2/5)*r^-1 = 0

(r+2)/r+(-1*(3*r-6))/r-2/(5*r) = 0

(5*r*(r+2))/(5*r*r)+(-1*5*r*(3*r-6))/(5*r*r)+(-2*r)/(5*r*r) = 0

5*r*(r+2)-1*5*r*(3*r-6)-2*r = 0

40*r-10*r^2-2*r = 0

38*r-10*r^2 = 0

38*r-10*r^2 = 0

2*r*(19-5*r) = 0

19-5*r = 0 // - 19

-5*r = -19 // : -5

r = -19/(-5)

r = 19/5

2*r*(r-19/5) = 0

(2*r*(r-19/5))/(5*r*r) = 0

(2*r*(r-19/5))/(5*r*r) = 0 // * 5*r*r

2*r*(r-19/5) = 0

( 2*r )

2*r = 0 // : 2

r = 0

( r-19/5 )

r-19/5 = 0 // + 19/5

r = 19/5

r in { 0}

r = 19/5

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