x*ln(x/6)=0

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Solution for x*ln(x/6)=0 equation: 


D( x )

x/6 <= 0

x/6 <= 0

x/6 <= 0

1/6*x+0 <= 0 // - 0

1/6*x <= 0 // : 1/6

x <= 0/1/6

x <= 0

x in (0:+oo)

x*ln(x/6) = 0

x = 0

ln(x/6) = 0

ln(x/6) = ln(e^0)

x/6 = e^0

x/6-e^0 = 0

1/6*x-1 = 0 // + 1

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

x = 1/1/6

x = 6

x*ln(x/6) = 0  <=>  x = 0 or x*ln(x/6) = 0  <=>  ln(x/6) = 0

x in { 0} 

x = 6

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