(5x-5/16)(6/x-1)

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Solution for (5x-5/16)(6/x-1) equation: 


D( x )

x = 0

x = 0

x = 0

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

(5*x-(5/16))*(6/x-1) = 0

(5*x-5/16)*(6/x-1) = 0

(5*x-5/16)*(6*x^-1-1) = 0

( 5*x-5/16 )

5*x-5/16 = 0 // + 5/16

5*x = 5/16 // : 5

x = 5/16/5

x = 1/16

( 6*x^-1-1 )

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

x^-1 = 1/6

-1 < 0

1/(x^1) = 1/6 // * x^1

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

6 = x^1

x = 6

x in { 1/16, 6 }

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