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a.
3x² — 8x + 2 = 2x² — 4 — 3x
3x² — 2x² — 8x + 3x = -4 — 2
x² — 5x = -6
x² — 5x + 6 = 0

D = b² — 4×a×c

b = -5
a = 1
c = 6

D = 25 — 4 × 6
D = 25 — 24
D = 1
√D = 1
x1 = (-b — √D) ÷ 2a
x2 = (-b + √D) ÷ 2a
x1 = (5 — 1) ÷ 2 = 2
x2 = (5 + 1) ÷ 2 = 3

б.
(6 — 3х)(2+х) = 24 — х — 4х²
12 +6х -6х — 3х² = 24 — х — 4х²
-3х² + 4х² +х = 24 — 12
х² +х = 12
х² + х — 12 = 0
D = 1 — 4 × (-12)
D = 1 + 48
D = 49
√D = 7
x1 = (-1 — 7) ÷ 2 = -4
x2 = (-1 + 7) ÷ 2 = 3

в.
(х² + 6х — 55)(х² — 11х + 28) = 0
x² + 6x — 55 = 0 и х² — 11х + 28 = 0
х² + 6х — 55 = 0
D = 36 — 4 × (-55)
D = 256
√D = 16
x1 = (-6 — 16)÷2 = 11
x2 = (-6 +16) ÷ 2 = 5

x² — 11x + 28 = 0
D = 121 — 4 × 28
D = 9
√D = 3
x3 = (11 — 3)÷2 = 4
x4 = (11 + 3)÷2 = 7

ответ: x1 = 11, x2 = 5, x3 = 4, x4 = 7

г.
х² + 6|х| — 16 = 0
х² + 6х — 16 = 0 и х² — 6х — 16 = 0
х² + 6x — 16 = 0
D = 36 — 4 × (-16) = 36 + 64 = 100
√D = 10
условие: х ≥ 0
x1 = (-6 -10)÷2 = -8
x2 = (-6 + 10)÷2 = 2
х² — 6х — 16 = 0
D = 36 — 4 × (-16) = 36 + 64 = 100
√D = 10
условие: х ≤ 0
x1 = (6 — 10)÷2 = -2
x2 = (6 + 10)÷2 = 8

ответ: х1 = 2, х2 = -2