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

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Solution for (6)/(x-4)=4/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)

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

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

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

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

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

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

2*x+16 = 0

(2*x+16)/(x*(x-4)) = 0

(2*x+16)/(x*(x-4)) = 0 // * x*(x-4)

2*x+16 = 0

2*x+16 = 0 // - 16

2*x = -16 // : 2

x = -16/2

x = -8

x = -8

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