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x in (-oo:+oo)
((1/2)*x-6)*(8*x^2-(4*x)-10) = 0
((1/2)*x-6)*(8*x^2-4*x-10) = 0
(1/2*x-6)*(8*x^2-4*x-10) = 0
8*x^2-4*x-10 = 0
2*(4*x^2-2*x-5) = 0
4*x^2-2*x-5 = 0
DELTA = (-2)^2-(-5*4*4)
DELTA = 84
DELTA > 0
x = (84^(1/2)+2)/(2*4) or x = (2-84^(1/2))/(2*4)
x = (2*21^(1/2)+2)/8 or x = (2-2*21^(1/2))/8
2*(x-((2-2*21^(1/2))/8))*(x-((2*21^(1/2)+2)/8)) = 0
2*(1/2*x-6)*(x-((2-2*21^(1/2))/8))*(x-((2*21^(1/2)+2)/8)) = 0
( 1/2*x-6 )
1/2*x-6 = 0 // + 6
1/2*x = 6 // : 1/2
x = 6/1/2
x = 12
( 2 )
2 = 0
x belongs to the empty set
( x-((2*21^(1/2)+2)/8) )
x-((2*21^(1/2)+2)/8) = 0 // + (2*21^(1/2)+2)/8
x = (2*21^(1/2)+2)/8
( x-((2-2*21^(1/2))/8) )
x-((2-2*21^(1/2))/8) = 0 // + (2-2*21^(1/2))/8
x = (2-2*21^(1/2))/8
x in { 12, (2*21^(1/2)+2)/8, (2-2*21^(1/2))/8 }
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