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x in (-oo:+oo)
x*((x+1)/4) = 5/16 // - 5/16
x*((x+1)/4)-(5/16) = 0
x*((x+1)/4)-5/16 = 0
(x*(x+1))/4-5/16 = 0
(16*x*(x+1))/(4*16)+(-5*4)/(4*16) = 0
16*x*(x+1)-5*4 = 0
16*x^2+16*x-20 = 0
16*x^2+16*x-20 = 0
4*(4*x^2+4*x-5) = 0
4*x^2+4*x-5 = 0
DELTA = 4^2-(-5*4*4)
DELTA = 96
DELTA > 0
x = (96^(1/2)-4)/(2*4) or x = (-96^(1/2)-4)/(2*4)
x = (4*6^(1/2)-4)/8 or x = (-4*6^(1/2)-4)/8
4*(x-((-4*6^(1/2)-4)/8))*(x-((4*6^(1/2)-4)/8)) = 0
(4*(x-((-4*6^(1/2)-4)/8))*(x-((4*6^(1/2)-4)/8)))/(4*16) = 0
(4*(x-((-4*6^(1/2)-4)/8))*(x-((4*6^(1/2)-4)/8)))/(4*16) = 0 // * 4*16
4*(x-((-4*6^(1/2)-4)/8))*(x-((4*6^(1/2)-4)/8)) = 0
( x-((-4*6^(1/2)-4)/8) )
x-((-4*6^(1/2)-4)/8) = 0 // + (-4*6^(1/2)-4)/8
x = (-4*6^(1/2)-4)/8
( x-((4*6^(1/2)-4)/8) )
x-((4*6^(1/2)-4)/8) = 0 // + (4*6^(1/2)-4)/8
x = (4*6^(1/2)-4)/8
x in { (-4*6^(1/2)-4)/8, (4*6^(1/2)-4)/8 }
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