(9x^2+x)/(3x-1)

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Solution for (9x^2+x)/(3x-1) equation: 


D( x )

3*x-1 = 0

3*x-1 = 0

3*x-1 = 0

3*x-1 = 0 // + 1

3*x = 1 // : 3

x = 1/3

x in (-oo:1/3) U (1/3:+oo)

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

9*x^2+x = 0

x*(9*x+1) = 0

9*x+1 = 0 // - 1

9*x = -1 // : 9

x = -1/9

x*(x+1/9) = 0

(x*(x+1/9))/(3*x-1) = 0

( x+1/9 )

x+1/9 = 0 // - 1/9

x = -1/9

( x )

x = 0

x in { -1/9, 0 }

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