3^(x² -2x+1) * 5^(x²-2x-1) ≥ 0.6 * 225^(x+6)
3 * 3^(x² -2x) * ¹/₅ * 5^(x² -2x) ≥ 0.6 * 225^(x+6)
0.6 * (3*5)^(x² -2x) ≥ 0.6 * (15²)^(x+6)
15^(x² -2x) ≥ 15^(2x+12)
x² -2x ≥ 2x+12
x² -2x -2x -12 ≥ 0
x² -4x -12 ≥0
x² -4x -12=0
D=16+48=64
x₁ = 4-8 = -2
2
x₂ = 4+8 =6
2
+ - +
--------- -2 ------------ 6 -------------
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x∈(-∞; -2] U [6; +∞)