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x in (-oo:+oo)
x*((4*x+5)/2) = 4 // - 4
x*((4*x+5)/2)-4 = 0
(x*(4*x+5))/2-4 = 0
(x*(4*x+5))/2+(-4*2)/2 = 0
x*(4*x+5)-4*2 = 0
4*x^2+5*x-8 = 0
4*x^2+5*x-8 = 0
4*x^2+5*x-8 = 0
DELTA = 5^2-(-8*4*4)
DELTA = 153
DELTA > 0
x = (153^(1/2)-5)/(2*4) or x = (-153^(1/2)-5)/(2*4)
x = (3*17^(1/2)-5)/8 or x = (-3*17^(1/2)-5)/8
(x-((-3*17^(1/2)-5)/8))*(x-((3*17^(1/2)-5)/8)) = 0
((x-((-3*17^(1/2)-5)/8))*(x-((3*17^(1/2)-5)/8)))/2 = 0
((x-((-3*17^(1/2)-5)/8))*(x-((3*17^(1/2)-5)/8)))/2 = 0 // * 2
(x-((-3*17^(1/2)-5)/8))*(x-((3*17^(1/2)-5)/8)) = 0
( x-((-3*17^(1/2)-5)/8) )
x-((-3*17^(1/2)-5)/8) = 0 // + (-3*17^(1/2)-5)/8
x = (-3*17^(1/2)-5)/8
( x-((3*17^(1/2)-5)/8) )
x-((3*17^(1/2)-5)/8) = 0 // + (3*17^(1/2)-5)/8
x = (3*17^(1/2)-5)/8
x in { (-3*17^(1/2)-5)/8, (3*17^(1/2)-5)/8 }
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