(2r)/(r-4)-2=4/(r+5)

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Solution for (2r)/(r-4)-2=4/(r+5) equation: 


D( r )

r-4 = 0

r+5 = 0

r-4 = 0

r-4 = 0

r-4 = 0 // + 4

r = 4

r+5 = 0

r+5 = 0

r+5 = 0 // - 5

r = -5

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

(2*r)/(r-4)-2 = 4/(r+5) // - 4/(r+5)

(2*r)/(r-4)-(4/(r+5))-2 = 0

(2*r)/(r-4)-4*(r+5)^-1-2 = 0

(2*r)/(r-4)-4/(r+5)-2 = 0

(2*r*(r+5))/((r-4)*(r+5))+(-4*(r-4))/((r-4)*(r+5))+(-2*(r-4)*(r+5))/((r-4)*(r+5)) = 0

2*r*(r+5)-4*(r-4)-2*(r-4)*(r+5) = 0

2*r^2-2*r^2+6*r-2*r+16+40 = 0

4*r+56 = 0

(4*r+56)/((r-4)*(r+5)) = 0

(4*r+56)/((r-4)*(r+5)) = 0 // * (r-4)*(r+5)

4*r+56 = 0

4*r+56 = 0 // - 56

4*r = -56 // : 4

r = -56/4

r = -14

r = -14

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