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x in (-oo:+oo)
A = 4*(1/2)*x*(3*x-2) // - 4*(1/2)*x*(3*x-2)
A-(4*(1/2)*x*(3*x-2)) = 0
A-2*x*(3*x-2) = 0
A-2*x*(3*x-2) = 0
A-6*x^2+4*x = 0
A-6*x^2+4*x = 0
A-6*x^2+4*x = 0
DELTA = 4^2-(-6*4*A)
DELTA = 24*A+16
24*A+16 = 0
24*A+16 = 0 // - 16
24*A = -16 // : 24
A = -16/24
A = -2/3
DELTA = 0 <=> t_3 = -2/3
x = -4/(-6*2) i A = -2/3
x = 1/3 i A = -2/3
( x = ((24*A+16)^(1/2)-4)/(-6*2) or x = (-(24*A+16)^(1/2)-4)/(-6*2) ) i A > -2/3
( x = ((24*A+16)^(1/2)-4)/(-12) or x = ((24*A+16)^(1/2)+4)/12 ) i A > -2/3
A+2/3 > 0
A+2/3 > 0 // - 2/3
A > -2/3
x in { 1/3, ((24*A+16)^(1/2)-4)/(-12), ((24*A+16)^(1/2)+4)/12 }
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