5/(x-5)=50/(x+4)

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Solution for 5/(x-5)=50/(x+4) equation: 


D( x )

x-5 = 0

x+4 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

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

5/(x-5) = 50/(x+4) // - 50/(x+4)

5/(x-5)-(50/(x+4)) = 0

5/(x-5)-50*(x+4)^-1 = 0

5/(x-5)-50/(x+4) = 0

(5*(x+4))/((x-5)*(x+4))+(-50*(x-5))/((x-5)*(x+4)) = 0

5*(x+4)-50*(x-5) = 0

270-45*x = 0

(270-45*x)/((x-5)*(x+4)) = 0

(270-45*x)/((x-5)*(x+4)) = 0 // * (x-5)*(x+4)

270-45*x = 0

270-45*x = 0 // - 270

-45*x = -270 // : -45

x = -270/(-45)

x = 6

x = 6

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