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D( x )
3*(18*x-27) = 0
3*(18*x-27) = 0
3*(18*x-27) = 0
( 18*x-27 )
18*x-27 = 0 // + 27
18*x = 27 // : 18
x = 27/18
x = 3/2
( 3 )
3 = 0
x belongs to the empty set
x in (-oo:3/2) U (3/2:+oo)
(3/4)*(24-(16*x)) = -(2/(3*(18*x-27))) // + 2/(3*(18*x-27))
(3/4)*(24-(16*x))+2/(3*(18*x-27)) = 0
(3/4)*(24-16*x)+2/(3*(18*x-27)) = 0
3/4*(24-16*x)+2/(3*(18*x-27)) = 0
(3/4*3*(24-16*x)*(18*x-27))/(3*(18*x-27))+2/(3*(18*x-27)) = 0
3/4*3*(24-16*x)*(18*x-27)+2 = 0
1944*x-648*x^2-1456 = 0
1944*x-648*x^2-1456 = 0
8*(243*x-81*x^2-182) = 0
243*x-81*x^2-182 = 0
DELTA = 243^2-(-182*(-81)*4)
DELTA = 81
DELTA > 0
x = (81^(1/2)-243)/(-81*2) or x = (-81^(1/2)-243)/(-81*2)
x = 13/9 or x = 14/9
8*(x-13/9)*(x-14/9) = 0
(8*(x-13/9)*(x-14/9))/(3*(18*x-27)) = 0
(8*(x-13/9)*(x-14/9))/(3*(18*x-27)) = 0 // * 3*(18*x-27)
8*(x-13/9)*(x-14/9) = 0
( 8 )
8 = 0
x belongs to the empty set
( x-13/9 )
x-13/9 = 0 // + 13/9
x = 13/9
( x-14/9 )
x-14/9 = 0 // + 14/9
x = 14/9
x in { 13/9, 14/9 }
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