(15-2/x)/(x/5+4)

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Solution for (15-2/x)/(x/5+4) equation: 


D( x )

x/5+4 = 0

x = 0

x/5+4 = 0

x/5+4 = 0

1/5*x+4 = 0 // - 4

1/5*x = -4 // : 1/5

x = -4/1/5

x = -20

x = 0

x = 0

x in (-oo:-20) U (-20:0) U (0:+oo)

(15-(2/x))/(x/5+4) = 0

(15-2*x^-1)/(x/5+4) = 0

(15-2*x^-1)/(1/5*x+4) = 0

-2*x^-1 = -15 // : -2

x^-1 = 15/2

-1 < 0

1/(x^1) = 15/2 // * x^1

1 = 15/2*x^1 // : 15/2

2/15 = x^1

x = 2/15

x = 2/15

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