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x in (-oo:+oo)
t_1 = 4*y^2-8*y-133/4
t_1+x^2+3*x = 0
t_1+x^2+3*x = 0
DELTA = 3^2-(1*4*t_1)
DELTA = 9-4*t_1
9-4*t_1 = 0
9-4*t_1 = 0 // - 9
-4*t_1 = -9 // : -4
t_1 = -9/(-4)
t_1 = 9/4
DELTA = 0 <=> t_2 = 9/4
x = -3/(1*2) i t_1 = 9/4
x = -3/2 i t_1 = 9/4
( x = ((9-4*t_1)^(1/2)-3)/(1*2) or x = (-(9-4*t_1)^(1/2)-3)/(1*2) ) i t_1 > 9/4
( x = ((9-4*t_1)^(1/2)-3)/2 or x = (-((9-4*t_1)^(1/2)+3))/2 ) i t_1 > 9/4
t_1-9/4 > 0
t_1-9/4 > 0 // + 9/4
t_1 > 9/4
x in { -3/2, ((9-4*(4*y^2-8*y-133/4))^(1/2)-3)/2, (-((9-4*(4*y^2-8*y-133/4))^(1/2)+3))/2 }
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