8/(x-4)=(x+4)/6

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Solution for 8/(x-4)=(x+4)/6 equation: 


D( x )

x-4 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

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

8/(x-4) = (x+4)/6 // - (x+4)/6

8/(x-4)-((x+4)/6) = 0

8/(x-4)+(-1*(x+4))/6 = 0

(6*8)/(6*(x-4))+(-1*(x+4)*(x-4))/(6*(x-4)) = 0

6*8-1*(x+4)*(x-4) = 0

64-x^2 = 0

(64-x^2)/(6*(x-4)) = 0

(64-x^2)/(6*(x-4)) = 0 // * 6*(x-4)

64-x^2 = 0

-1*x^2 = -64 // : -1

x^2 = 64

x^2 = 64 // ^ 1/2

abs(x) = 8

x = 8 or x = -8

x in { 8, -8 }

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