20/(x+5)=10/(x-5)

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Solution for 20/(x+5)=10/(x-5) equation: 


D( x )

x-5 = 0

x+5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

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

20/(x+5) = 10/(x-5) // - 10/(x-5)

20/(x+5)-(10/(x-5)) = 0

20/(x+5)-10*(x-5)^-1 = 0

20/(x+5)-10/(x-5) = 0

(20*(x-5))/((x+5)*(x-5))+(-10*(x+5))/((x+5)*(x-5)) = 0

20*(x-5)-10*(x+5) = 0

10*x-150 = 0

(10*x-150)/((x+5)*(x-5)) = 0

(10*x-150)/((x+5)*(x-5)) = 0 // * (x+5)*(x-5)

10*x-150 = 0

10*x-150 = 0 // + 150

10*x = 150 // : 10

x = 150/10

x = 15

x = 15

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