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x in (-oo:+oo)
x*((4*x-8)/5) = 16 // - 16
x*((4*x-8)/5)-16 = 0
(x*(4*x-8))/5-16 = 0
(x*(4*x-8))/5+(-16*5)/5 = 0
x*(4*x-8)-16*5 = 0
4*x^2-8*x-80 = 0
4*x^2-8*x-80 = 0
4*(x^2-2*x-20) = 0
x^2-2*x-20 = 0
DELTA = (-2)^2-(-20*1*4)
DELTA = 84
DELTA > 0
x = (84^(1/2)+2)/(1*2) or x = (2-84^(1/2))/(1*2)
x = (2*21^(1/2)+2)/2 or x = (2-2*21^(1/2))/2
4*(x-((2-2*21^(1/2))/2))*(x-((2*21^(1/2)+2)/2)) = 0
(4*(x-((2-2*21^(1/2))/2))*(x-((2*21^(1/2)+2)/2)))/5 = 0
(4*(x-((2-2*21^(1/2))/2))*(x-((2*21^(1/2)+2)/2)))/5 = 0 // * 5
4*(x-((2-2*21^(1/2))/2))*(x-((2*21^(1/2)+2)/2)) = 0
( 4 )
4 = 0
x belongs to the empty set
( x-((2*21^(1/2)+2)/2) )
x-((2*21^(1/2)+2)/2) = 0 // + (2*21^(1/2)+2)/2
x = (2*21^(1/2)+2)/2
( x-((2-2*21^(1/2))/2) )
x-((2-2*21^(1/2))/2) = 0 // + (2-2*21^(1/2))/2
x = (2-2*21^(1/2))/2
x in { (2*21^(1/2)+2)/2, (2-2*21^(1/2))/2 }
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