5+8/x=2(x+4)/x

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Solution for 5+8/x=2(x+4)/x equation: 


D( x )

x = 0

x = 0

x = 0

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

8/x+5 = (2*(x+4))/x // - (2*(x+4))/x

8/x-((2*(x+4))/x)+5 = 0

8/x-2*x^-1*(x+4)+5 = 0

(-2*x^-1*x*(x+4))/x+8/x+(5*x)/x = 0

5*x-2*x^-1*x*(x+4)+8 = 0

5*x-2*x = 0

3*x = 0

(3*x)/x = 0

(3*x)/x = 0 // * x

3*x = 0

3*x = 0 // : 3

x = 0

x in { 0} 

x belongs to the empty set

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