(4+2/x)/(x/4+1/8)

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Solution for (4+2/x)/(x/4+1/8) equation: 


D( x )

x = 0

x/4+1/8 = 0

x = 0

x = 0

x/4+1/8 = 0

x/4+1/8 = 0

1/4*x+1/8 = 0 // - 1/8

1/4*x = -1/8 // : 1/4

x = -1/8/1/4

x = -1/2

x in (-oo:-1/2) U (-1/2:0) U (0:+oo)

(2/x+4)/(x/4+1/8) = 0

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

2*x^-1 = -4 // : 2

x^-1 = -2

-1 < 0

1/(x^1) = -2 // * x^1

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

-1/2 = x^1

x = -1/2

x in { -1/2} 

x belongs to the empty set

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