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

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


D( x )

x = 0

x-4 = 0

x = 0

x = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:0) U (0:4) U (4:+oo)

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

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

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

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

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

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

2*x+24 = 0

(2*x+24)/(x*(x-4)) = 0

(2*x+24)/(x*(x-4)) = 0 // * x*(x-4)

2*x+24 = 0

2*x+24 = 0 // - 24

2*x = -24 // : 2

x = -24/2

x = -12

x = -12

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