2 - 6x - 3(3 + 2x) ≥ 5
(x + 2)² ≤ x² - 6x + 20
------
2 - 6x - 9 - 6x ≥ 5
x² + 4x + 4 ≤ x² - 6x + 20
12x ≤ -12
10x ≤ 16
x ≤ -1
x ≤ 1.6
----
x ∈ (-∞, -1]
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Verified answer
2 - 6x - 3(3 + 2x) ≥ 5
(x + 2)² ≤ x² - 6x + 20
------
2 - 6x - 9 - 6x ≥ 5
x² + 4x + 4 ≤ x² - 6x + 20
------
12x ≤ -12
10x ≤ 16
------
x ≤ -1
x ≤ 1.6
----
x ∈ (-∞, -1]