(3x-8)/(3/x-10)

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Solution for (3x-8)/(3/x-10) equation: 


D( x )

x = 0

3/x-10 = 0

x = 0

x = 0

3/x-10 = 0

3/x-10 = 0

3*x^-1 = 10 // : 3

x^-1 = 10/3

-1 < 0

1/(x^1) = 10/3 // * x^1

1 = 10/3*x^1 // : 10/3

3/10 = x^1

x = 3/10

x in (-oo:0) U (0:3/10) U (3/10:+oo)

(3*x-8)/(3/x-10) = 0

(3*x-8)/(3*x^-1-10) = 0

3*x-8 = 0 // + 8

3*x = 8 // : 3

x = 8/3

x = 8/3

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