4r/(r+2)+6/(r-3)=4

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Solution for 4r/(r+2)+6/(r-3)=4 equation: 


D( r )

r-3 = 0

r+2 = 0

r-3 = 0

r-3 = 0

r-3 = 0 // + 3

r = 3

r+2 = 0

r+2 = 0

r+2 = 0 // - 2

r = -2

r in (-oo:-2) U (-2:3) U (3:+oo)

(4*r)/(r+2)+6/(r-3) = 4 // - 4

(4*r)/(r+2)+6/(r-3)-4 = 0

(4*r*(r-3))/((r+2)*(r-3))+(6*(r+2))/((r+2)*(r-3))+(-4*(r+2)*(r-3))/((r+2)*(r-3)) = 0

4*r*(r-3)+6*(r+2)-4*(r+2)*(r-3) = 0

4*r^2-4*r^2-6*r+4*r+12+24 = 0

36-2*r = 0

(36-2*r)/((r+2)*(r-3)) = 0

(36-2*r)/((r+2)*(r-3)) = 0 // * (r+2)*(r-3)

36-2*r = 0

36-2*r = 0 // - 36

-2*r = -36 // : -2

r = -36/(-2)

r = 18

r = 18

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