2/(y+4)+4/(y-2)=6/(y+5)

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Solution for 2/(y+4)+4/(y-2)=6/(y+5) equation:


D( y )

y+4 = 0

y+5 = 0

y-2 = 0

y+4 = 0

y+4 = 0

y+4 = 0 // - 4

y = -4

y+5 = 0

y+5 = 0

y+5 = 0 // - 5

y = -5

y-2 = 0

y-2 = 0

y-2 = 0 // + 2

y = 2

y in (-oo:-5) U (-5:-4) U (-4:2) U (2:+oo)

2/(y+4)+4/(y-2) = 6/(y+5) // - 6/(y+5)

2/(y+4)+4/(y-2)-(6/(y+5)) = 0

2/(y+4)+4/(y-2)-6*(y+5)^-1 = 0

2/(y+4)+4/(y-2)-6/(y+5) = 0

(2*(y-2)*(y+5))/((y+4)*(y-2)*(y+5))+(4*(y+4)*(y+5))/((y+4)*(y-2)*(y+5))+(-6*(y+4)*(y-2))/((y+4)*(y-2)*(y+5)) = 0

2*(y-2)*(y+5)+4*(y+4)*(y+5)-6*(y+4)*(y-2) = 0

6*y^2-6*y^2+42*y-12*y+48+60 = 0

30*y+108 = 0

(30*y+108)/((y+4)*(y-2)*(y+5)) = 0

(30*y+108)/((y+4)*(y-2)*(y+5)) = 0 // * (y+4)*(y-2)*(y+5)

30*y+108 = 0

30*y+108 = 0 // - 108

30*y = -108 // : 30

y = -108/30

y = -18/5

y = -18/5

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