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x in (-oo:+oo)
x*((4*x-1)/2) = 5 // - 5
x*((4*x-1)/2)-5 = 0
(x*(4*x-1))/2-5 = 0
(x*(4*x-1))/2+(-5*2)/2 = 0
x*(4*x-1)-5*2 = 0
4*x^2-x-10 = 0
4*x^2-x-10 = 0
4*x^2-x-10 = 0
DELTA = (-1)^2-(-10*4*4)
DELTA = 161
DELTA > 0
x = (161^(1/2)+1)/(2*4) or x = (1-161^(1/2))/(2*4)
x = (161^(1/2)+1)/8 or x = (1-161^(1/2))/8
(x-((1-161^(1/2))/8))*(x-((161^(1/2)+1)/8)) = 0
((x-((1-161^(1/2))/8))*(x-((161^(1/2)+1)/8)))/2 = 0
((x-((1-161^(1/2))/8))*(x-((161^(1/2)+1)/8)))/2 = 0 // * 2
(x-((1-161^(1/2))/8))*(x-((161^(1/2)+1)/8)) = 0
( x-((1-161^(1/2))/8) )
x-((1-161^(1/2))/8) = 0 // + (1-161^(1/2))/8
x = (1-161^(1/2))/8
( x-((161^(1/2)+1)/8) )
x-((161^(1/2)+1)/8) = 0 // + (161^(1/2)+1)/8
x = (161^(1/2)+1)/8
x in { (1-161^(1/2))/8, (161^(1/2)+1)/8 }
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