x*ln(x^2/9)=0

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Solution for x*ln(x^2/9)=0 equation: 


D( x )

(x^2)/9 <= 0

(x^2)/9 <= 0

(x^2)/9 <= 0

1/9*x^2 <= 0

1/9*x^2 <= 0 // : 1/9

x^2 <= 0/1/9

x^2 <= 0

x in <0:0>

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

x*ln((x^2)/9) = 0

x = 0

ln((x^2)/9) = 0

ln((x^2)/9) = ln(e^0)

(x^2)/9 = e^0

(x^2)/9-e^0 = 0

1/9*x^2 = 1 // : 1/9

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x*ln((x^2)/9) = 0  <=>  x = 0 or x*ln((x^2)/9) = 0  <=>  ln((x^2)/9) = 0

x in { 0} 

x in { 3, -3 }

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