(28/x+5)/(1/x+5)

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Solution for (28/x+5)/(1/x+5) equation: 


D( x )

x = 0

1/x+5 = 0

x = 0

x = 0

1/x+5 = 0

1/x+5 = 0

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

x^-1 = -5

-1 < 0

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

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

-1/5 = x^1

x = -1/5

x in (-oo:-1/5) U (-1/5:0) U (0:+oo)

(28/x+5)/(1/x+5) = 0

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

28*x^-1 = -5 // : 28

x^-1 = -5/28

-1 < 0

1/(x^1) = -5/28 // * x^1

1 = -5/28*x^1 // : -5/28

-28/5 = x^1

x = -28/5

x = -28/5

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