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x in (-oo:+oo)
A = (1/2)*(x-6)*(6*x-12) // - (1/2)*(x-6)*(6*x-12)
A-((1/2)*(x-6)*(6*x-12)) = 0
(-1/2)*(6*x-12)*(x-6)+A = 0
A-1/2*(6*x-12)*(x-6) = 0
A-1/2*(6*x-12)*(x-6) = 0
A-3*x^2+24*x-36 = 0
A-3*x^2+24*x-36 = 0
A-3*x^2+24*x-36 = 0
DELTA = 24^2-(-3*4*(A-36))
DELTA = 12*(A-36)+576
12*(A-36)+576 = 0
12*(A-36)+576 = 0
12*A+144 = 0
12*A+144 = 0
12*A+144 = 0 // - 144
12*A = -144 // : 12
A = -144/12
A = -12
DELTA = 0 <=> t_3 = -12
x = -24/(-3*2) i A = -12
x = 4 i A = -12
( x = ((12*(A-36)+576)^(1/2)-24)/(-3*2) or x = (-(12*(A-36)+576)^(1/2)-24)/(-3*2) ) i A > -12
( x = ((12*(A-36)+576)^(1/2)-24)/(-6) or x = ((12*(A-36)+576)^(1/2)+24)/6 ) i A > -12
A+12 > 0
A+12 > 0 // - 12
A > -12
x in { 4, ((12*(A-36)+576)^(1/2)-24)/(-6), ((12*(A-36)+576)^(1/2)+24)/6 }
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