12/(x+5)=(x-5)/8

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Solution for 12/(x+5)=(x-5)/8 equation: 


D( x )

x+5 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

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

12/(x+5) = (x-5)/8 // - (x-5)/8

12/(x+5)-((x-5)/8) = 0

12/(x+5)+(-1*(x-5))/8 = 0

(8*12)/(8*(x+5))+(-1*(x-5)*(x+5))/(8*(x+5)) = 0

8*12-1*(x-5)*(x+5) = 0

121-x^2 = 0

(121-x^2)/(8*(x+5)) = 0

(121-x^2)/(8*(x+5)) = 0 // * 8*(x+5)

121-x^2 = 0

-1*x^2 = -121 // : -1

x^2 = 121

x^2 = 121 // ^ 1/2

abs(x) = 11

x = 11 or x = -11

x in { 11, -11 }

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