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D( x )
15*x^2-(9*x) = 0
15*x^2-(9*x) = 0
15*x^2-(9*x) = 0
15*x^2-9*x = 0
15*x^2-9*x = 0
DELTA = (-9)^2-(0*4*15)
DELTA = 81
DELTA > 0
x = (81^(1/2)+9)/(2*15) or x = (9-81^(1/2))/(2*15)
x = 3/5 or x = 0
x in (-oo:0) U (0:3/5) U (3/5:+oo)
(35*x^2-(21*x))/(15*x^2-(9*x)) = 0
(35*x^2-21*x)/(15*x^2-9*x) = 0
35*x^2-21*x = 0
7*x*(5*x-3) = 0
5*x-3 = 0 // + 3
5*x = 3 // : 5
x = 3/5
7*x*(x-3/5) = 0
15*x^2-9*x = 0
3*x*(5*x-3) = 0
5*x-3 = 0 // + 3
5*x = 3 // : 5
x = 3/5
3*x*(x-3/5) = 0
(7*x*(x-3/5))/(3*x*(x-3/5)) = 0
( 7*x )
7*x = 0 // : 7
x = 0
( x-3/5 )
x-3/5 = 0 // + 3/5
x = 3/5
x in { 0}
x in { 3/5}
x belongs to the empty set
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