((5x)/(x+4))-((6)/(x-3))=5

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Solution for ((5x)/(x+4))-((6)/(x-3))=5 equation:


D( x )

x+4 = 0

x-3 = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:-4) U (-4:3) U (3:+oo)

(5*x)/(x+4)-(6/(x-3)) = 5 // - 5

(5*x)/(x+4)-(6/(x-3))-5 = 0

(5*x)/(x+4)-6*(x-3)^-1-5 = 0

(5*x)/(x+4)-6/(x-3)-5 = 0

(5*x*(x-3))/((x+4)*(x-3))+(-6*(x+4))/((x+4)*(x-3))+(-5*(x+4)*(x-3))/((x+4)*(x-3)) = 0

5*x*(x-3)-6*(x+4)-5*(x+4)*(x-3) = 0

5*x^2-5*x^2-21*x-5*x-24+60 = 0

36-26*x = 0

(36-26*x)/((x+4)*(x-3)) = 0

(36-26*x)/((x+4)*(x-3)) = 0 // * (x+4)*(x-3)

36-26*x = 0

36-26*x = 0 // - 36

-26*x = -36 // : -26

x = -36/(-26)

x = 18/13

x = 18/13

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