e^-1=(x-6)/x

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


D( x )

x = 0

x = 0

x = 0

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

e^-1 = (x-6)/x // - (x-6)/x

e^-1-((x-6)/x) = 0

(-1*(x-6))/x+e^-1 = 0

(-1*(x-6))/x+(e^-1*x)/x = 0

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

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

((e^-1-1)*x+6)/x = 0

((e^-1-1)*x+6)/x = 0 // * x

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

(e^-1-1)*x+6 = 0 // - 6

(e^-1-1)*x = -6 // : e^-1-1

x = -6/(e^-1-1)

x = -6/(e^-1-1)

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