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D( x )
4*x^3-(9*x) = 0
4*x^3-(9*x) = 0
4*x^3-(9*x) = 0
4*x^3-9*x = 0
4*x^3-9*x = 0
x*(4*x^2-9) = 0
4*x^2 = 9 // : 4
x^2 = 9/4
x^2 = 9/4 // ^ 1/2
abs(x) = 3/2
x = 3/2 or x = -3/2
x = 0
x = 0
x in (-oo:-3/2) U (-3/2:0) U (0:3/2) U (3/2:+oo)
(-10*x^2-(15*x))/(4*x^3-(9*x)) = 0
(-10*x^2-15*x)/(4*x^3-9*x) = 0
-10*x^2-15*x = 0
-5*x*(2*x+3) = 0
2*x+3 = 0 // - 3
2*x = -3 // : 2
x = -3/2
-5*x*(x+3/2) = 0
4*x^3-9*x = 0
x*(4*x^2-9) = 0
4*x^2 = 9 // : 4
x^2 = 9/4
x^2 = 9/4 // ^ 1/2
abs(x) = 3/2
x = 3/2 or x = -3/2
x*(x-3/2)*(x+3/2) = 0
(-5*x*(x+3/2))/(x*(x-3/2)*(x+3/2)) = 0
( -5*x )
-5*x = 0 // : -5
x = 0
( x+3/2 )
x+3/2 = 0 // - 3/2
x = -3/2
x in { 0}
x in { -3/2}
x belongs to the empty set
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