(2/5-1/x)*(2/x+1/4)

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Solution for (2/5-1/x)*(2/x+1/4) equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

( 2*x^-1+1/4 )

2*x^-1 = -1/4 // : 2

x^-1 = -1/8

-1 < 0

1/(x^1) = -1/8 // * x^1

1 = -1/8*x^1 // : -1/8

-8 = x^1

x = -8

( 2/5-x^-1 )

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

x^-1 = 2/5

-1 < 0

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

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

5/2 = x^1

x = 5/2

x in { -8, 5/2 }

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