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x in (-oo:+oo)
D = (2/75)*x^2-((4/3)*x)-(32/3) // - (2/75)*x^2-((4/3)*x)-(32/3)
D-((2/75)*x^2)+(4/3)*x+32/3 = 0
D+(-2/75)*x^2+(4/3)*x+32/3 = 0
D-2/75*x^2+4/3*x+32/3 = 0
DELTA = (4/3)^2-(-2/75*4*(D+32/3))
DELTA = 8/75*(D+32/3)+16/9
8/75*(D+32/3)+16/9 = 0
(8/75*9*(D+32/3))/9+16/9 = 0
8/75*9*(D+32/3)+16 = 0
24/25*D+656/25 = 0
(24/25*D+656/25)/9 = 0
(24/25*D+656/25)/9 = 0 // * 9
24/25*D+656/25 = 0
24/25*D+656/25 = 0 // - 656/25
24/25*D = -656/25 // : 24/25
D = -656/25/24/25
D = -82/3
DELTA = 0 <=> t_1 = -82/3
x = -4/3/(-2/75*2) i D = -82/3
x = 25 i D = -82/3
( x = ((8/75*(D+32/3)+16/9)^(1/2)-4/3)/(-2/75*2) or x = (-(8/75*(D+32/3)+16/9)^(1/2)-4/3)/(-2/75*2) ) i D > -82/3
( x = -75/4*((8/75*(D+32/3)+16/9)^(1/2)-4/3) or x = 75/4*((8/75*(D+32/3)+16/9)^(1/2)+4/3) ) i D > -82/3
D+82/3 > 0
D+82/3 > 0 // - 82/3
D > -82/3
x in { 25, -75/4*((8/75*(D+32/3)+16/9)^(1/2)-4/3), 75/4*((8/75*(D+32/3)+16/9)^(1/2)+4/3) }
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