(x^2-1/6x)(3x^2/x^2+x)

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Solution for (x^2-1/6x)(3x^2/x^2+x) equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

(x^2-((1/6)*x))*(x+(3*x^2)/(x^2)) = 0

(x^2+(-1/6)*x)*(x+(3*x^2)/(x^2)) = 0

(x^2-1/6*x)*(x+3) = 0

x^2-1/6*x = 0

x*(x-1/6) = 0

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

x = 1/6

x*(x-1/6) = 0

x*(x-1/6)*(x+3) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-1/6 )

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

x = 1/6

( x )

x = 0

x in { 0} 

x in { -3, 1/6 }

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