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x in (-oo:+oo)
(4*x*(4*x+1))/2+4*(3*x+1) = 3*x+2 // - 3*x+2
(4*x*(4*x+1))/2+4*(3*x+1)-(3*x)-2 = 0
(4*x*(4*x+1))/2+4*(3*x+1)-3*x-2 = 0
(4*x*(4*x+1))/2+(2*4*(3*x+1))/2+(-3*2*x)/2+(-2*2)/2 = 0
4*x*(4*x+1)+2*4*(3*x+1)-3*2*x-2*2 = 0
16*x^2+28*x-6*x-4+8 = 0
16*x^2+22*x-4+8 = 0
16*x^2+22*x+4 = 0
16*x^2+22*x+4 = 0
2*(8*x^2+11*x+2) = 0
8*x^2+11*x+2 = 0
DELTA = 11^2-(2*4*8)
DELTA = 57
DELTA > 0
x = (57^(1/2)-11)/(2*8) or x = (-57^(1/2)-11)/(2*8)
x = (57^(1/2)-11)/16 or x = (-(57^(1/2)+11))/16
2*(x+(57^(1/2)+11)/16)*(x-((57^(1/2)-11)/16)) = 0
(2*(x+(57^(1/2)+11)/16)*(x-((57^(1/2)-11)/16)))/2 = 0
(2*(x+(57^(1/2)+11)/16)*(x-((57^(1/2)-11)/16)))/2 = 0 // * 2
2*(x+(57^(1/2)+11)/16)*(x-((57^(1/2)-11)/16)) = 0
( x+(57^(1/2)+11)/16 )
x+(57^(1/2)+11)/16 = 0 // - (57^(1/2)+11)/16
x = -((57^(1/2)+11)/16)
( x-((57^(1/2)-11)/16) )
x-((57^(1/2)-11)/16) = 0 // + (57^(1/2)-11)/16
x = (57^(1/2)-11)/16
x in { -((57^(1/2)+11)/16), (57^(1/2)-11)/16 }
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