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x in (-oo:+oo)
x*((4*x+2)/2)+1 = 50 // - 50
x*((4*x+2)/2)-50+1 = 0
(x*(4*x+2))/2-50+1 = 0
(x*(4*x+2))/2+(-50*2)/2+(1*2)/2 = 0
x*(4*x+2)-50*2+1*2 = 0
4*x^2+2*x-100+2 = 0
4*x^2+2*x-98 = 0
4*x^2+2*x-98 = 0
2*(2*x^2+x-49) = 0
2*x^2+x-49 = 0
DELTA = 1^2-(-49*2*4)
DELTA = 393
DELTA > 0
x = (393^(1/2)-1)/(2*2) or x = (-393^(1/2)-1)/(2*2)
x = (393^(1/2)-1)/4 or x = (-(393^(1/2)+1))/4
2*(x+(393^(1/2)+1)/4)*(x-((393^(1/2)-1)/4)) = 0
(2*(x+(393^(1/2)+1)/4)*(x-((393^(1/2)-1)/4)))/2 = 0
(2*(x+(393^(1/2)+1)/4)*(x-((393^(1/2)-1)/4)))/2 = 0 // * 2
2*(x+(393^(1/2)+1)/4)*(x-((393^(1/2)-1)/4)) = 0
( x+(393^(1/2)+1)/4 )
x+(393^(1/2)+1)/4 = 0 // - (393^(1/2)+1)/4
x = -((393^(1/2)+1)/4)
( x-((393^(1/2)-1)/4) )
x-((393^(1/2)-1)/4) = 0 // + (393^(1/2)-1)/4
x = (393^(1/2)-1)/4
x in { -((393^(1/2)+1)/4), (393^(1/2)-1)/4 }
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