1/x=3/x-8

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Solution for 1/x=3/x-8 equation: 


D( x )

x = 0

x = 0

x = 0

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

1/x = 3/x-8 // - 3/x-8

1/x-(3/x)+8 = 0

1/x-3*x^-1+8 = 0

-2*x^-1 = -8 // : -2

x^-1 = 4

-1 < 0

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

1 = 4*x^1 // : 4

1/4 = x^1

x = 1/4

x = 1/4

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