1=(1/x-1)((-6/x)+6)

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Solution for 1=(1/x-1)((-6/x)+6) equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

1-1*(x^-1-1)*(6-6*x^-1) = 0

1-1*(x^-1-1)*(6-6*x^-1) = 0

6*x^-2-12*x^-1+7 = 0

6*x^-2-12*x^-1+7 = 0

6*x^-2-12*x^-1+7*x^0 = 0

(7*x^2-12*x^1+6*x^0)/(x^2) = 0 // * x^4

x^2*(7*x^2-12*x^1+6*x^0) = 0

x^2

7*x^2-12*x+6 = 0

7*x^2-12*x+6 = 0

DELTA = (-12)^2-(4*6*7)

DELTA = -24

DELTA < 0

x in { } 

1 = 0

1 = 0

x belongs to the empty set

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