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D( x )
2*x-6 = 0
2*x-6 = 0
2*x-6 = 0
2*x-6 = 0 // + 6
2*x = 6 // : 2
x = 6/2
x = 3
x in (-oo:3) U (3:+oo)
(2*x^2-(8*x)-24)/(2*x-6) = 0
(2*x^2-8*x-24)/(2*x-6) = 0
2*x^2-8*x-24 = 0
2*(x^2-4*x-12) = 0
x^2-4*x-12 = 0
DELTA = (-4)^2-(-12*1*4)
DELTA = 64
DELTA > 0
x = (64^(1/2)+4)/(1*2) or x = (4-64^(1/2))/(1*2)
x = 6 or x = -2
2*(x+2)*(x-6) = 0
(2*(x+2)*(x-6))/(2*x-6) = 0
( 2 )
2 = 0
x belongs to the empty set
( x+2 )
x+2 = 0 // - 2
x = -2
( x-6 )
x-6 = 0 // + 6
x = 6
x in { -2, 6 }
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