(1/6-4/x)/(7/10+6/x^2)

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Solution for (1/6-4/x)/(7/10+6/x^2) equation: 


D( x )

x = 0

6/(x^2)+7/10 = 0

x^2 = 0

x = 0

x = 0

6/(x^2)+7/10 = 0

6/(x^2)+7/10 = 0

6*x^-2 = -7/10 // : 6

x^-2 = -7/60

-2 < 0

1/(x^2) = -7/60 // * x^2

1 = -7/60*x^2 // : -7/60

-60/7 = x^2

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

(1/6-(4/x))/(6/(x^2)+7/10) = 0

(1/6-4*x^-1)/(6/(x^2)+7/10) = 0

(1/6-4*x^-1)/(6*x^-2+7/10) = 0

-4*x^-1 = -1/6 // : -4

x^-1 = 1/24

-1 < 0

1/(x^1) = 1/24 // * x^1

1 = 1/24*x^1 // : 1/24

24 = x^1

x = 24

x = 24

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