3(x^2+1/4x^3)*1/(x^2+3)

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Solution for 3(x^2+1/4x^3)*1/(x^2+3) equation: 


D( x )

x^2+3 = 0

x^2+3 = 0

x^2+3 = 0

1*x^2 = -3 // : 1

x^2 = -3

x in (-oo:+oo)

(1*3*((1/4)*x^3+x^2))/(x^2+3) = 0

(3*((1/4)*x^3+x^2))/(x^2+3) = 0

(3*(1/4*x^3+x^2))/(x^2+3) = 0

1/4*x^3+x^2 = 0

x^2*(1/4*x+1) = 0

1/4*x+1 = 0 // - 1

1/4*x = -1 // : 1/4

x = -1/1/4

x = -4

x^2*(x+4) = 0

(3*x^2*(x+4))/(x^2+3) = 0

( x+4 )

x+4 = 0 // - 4

x = -4

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { -4, 0 }

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