3/(x-4)=4/x

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Solution for 3/(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)

3/(x-4) = 4/x // - 4/x

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

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

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

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

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

16-x = 0

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

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

16-x = 0

16-x = 0 // - 16

-x = -16 // * -1

x = 16

x = 16

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