(4x+12x^2)/(9+27x)

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Solution for (4x+12x^2)/(9+27x) equation: 


D( x )

27*x+9 = 0

27*x+9 = 0

27*x+9 = 0

27*x+9 = 0 // - 9

27*x = -9 // : 27

x = -9/27

x = -1/3

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

(12*x^2+4*x)/(27*x+9) = 0

12*x^2+4*x = 0

4*x*(3*x+1) = 0

3*x+1 = 0 // - 1

3*x = -1 // : 3

x = -1/3

4*x*(x+1/3) = 0

(4*x*(x+1/3))/(27*x+9) = 0

( 4*x )

4*x = 0 // : 4

x = 0

( x+1/3 )

x+1/3 = 0 // - 1/3

x = -1/3

x in { -1/3} 

x = 0

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