((1/4)-(1/x))/((3/10)+(2/x^2))

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Solution for ((1/4)-(1/x))/((3/10)+(2/x^2)) equation: 


D( x )

x = 0

2/(x^2)+3/10 = 0

x^2 = 0

x = 0

x = 0

2/(x^2)+3/10 = 0

2/(x^2)+3/10 = 0

2*x^-2 = -3/10 // : 2

x^-2 = -3/20

-2 < 0

1/(x^2) = -3/20 // * x^2

1 = -3/20*x^2 // : -3/20

-20/3 = 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)

(1/4-(1/x))/(2/(x^2)+3/10) = 0

(1/4-x^-1)/(2/(x^2)+3/10) = 0

(1/4-x^-1)/(2*x^-2+3/10) = 0

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

x^-1 = 1/4

-1 < 0

1/(x^1) = 1/4 // * x^1

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

4 = x^1

x = 4

x = 4

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