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D( x )
2*x-5 = 0
2*x-5 = 0
2*x-5 = 0
2*x-5 = 0 // + 5
2*x = 5 // : 2
x = 5/2
x in (-oo:5/2) U (5/2:+oo)
(12*x^3-(14*x^2)-(40*x))/(2*x-5) = 0
(12*x^3-14*x^2-40*x)/(2*x-5) = 0
12*x^3-14*x^2-40*x = 0
2*x*(6*x^2-7*x-20) = 0
6*x^2-7*x-20 = 0
DELTA = (-7)^2-(-20*4*6)
DELTA = 529
DELTA > 0
x = (529^(1/2)+7)/(2*6) or x = (7-529^(1/2))/(2*6)
x = 5/2 or x = -4/3
2*x*(x+4/3)*(x-5/2) = 0
(2*x*(x+4/3)*(x-5/2))/(2*x-5) = 0
( 2*x )
2*x = 0 // : 2
x = 0
( x+4/3 )
x+4/3 = 0 // - 4/3
x = -4/3
( x-5/2 )
x-5/2 = 0 // + 5/2
x = 5/2
x in { 5/2}
x in { 0, -4/3 }
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