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D( x )
4*(9-(3*x))*(x^2+3*x) = 0
4*(9-(3*x))*(x^2+3*x) = 0
4*(9-(3*x))*(x^2+3*x) = 0
4*(9-3*x)*(x^2+3*x) = 0
x^2+3*x = 0
x*(x+3) = 0
x+3 = 0 // - 3
x = -3
x*(x+3) = 0
4*x*(9-3*x)*(x+3) = 0
( 9-3*x )
9-3*x = 0 // - 9
-3*x = -9 // : -3
x = -9/(-3)
x = 3
( x+3 )
x+3 = 0 // - 3
x = -3
( x )
x = 0
x in (-oo:-3) U (-3:0) U (0:3) U (3:+oo)
((8*x^2)^6*(3*x^2-27))/(4*(9-(3*x))*(x^2+3*x)) = 0
((8*x^2)^6*(3*x^2-27))/(4*(9-3*x)*(x^2+3*x)) = 0
(262144*x^12*(3*x^2-27))/(4*(9-3*x)*(x^2+3*x)) = 0
x^2+3*x = 0
x*(x+3) = 0
x+3 = 0 // - 3
x = -3
x*(x+3) = 0
(262144*x^12*(3*x^2-27))/(4*x*(9-3*x)*(x+3)) = 0
( 262144*x^12 )
262144*x^12 = 0 // : 262144
x^12 = 0
x = 0
( 3*x^2-27 )
3*x^2 = 27 // : 3
x^2 = 9
x^2 = 9 // ^ 1/2
abs(x) = 3
x = 3 or x = -3
x in { 0}
x in { 3}
x in { -3}
x belongs to the empty set
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