(x/(3-6))/(10+(4/x))

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Solution for (x/(3-6))/(10+(4/x)) equation: 


D( x )

x = 0

4/x+10 = 0

x = 0

x = 0

4/x+10 = 0

4/x+10 = 0

4*x^-1 = -10 // : 4

x^-1 = -5/2

-1 < 0

1/(x^1) = -5/2 // * x^1

1 = -5/2*x^1 // : -5/2

-2/5 = x^1

x = -2/5

x in (-oo:-2/5) U (-2/5:0) U (0:+oo)

(x/(3-6))/(4/x+10) = 0

(-1/3*x)/(4*x^-1+10) = 0

-1/3*x = 0 // : -1/3

x = 0

x in { 0} 

x belongs to the empty set

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