\(25^{x^2 - 2x + 10} - 0.2^{2x^2 - 4x - 80} \leq 0\)
1. \(25^{x^2 - 2x + 10} \leq 0.2^{2x^2 - 4x - 80}\)
2. \((5^2)^{x^2 - 2x + 10} \leq (5^{-1})^{2x^2 - 4x - 80}\)
3. \(5^{2(x^2 - 2x + 10)} \leq 5^{-(2x^2 - 4x - 80)}\)
4. \(2(x^2 - 2x + 10) \leq -(2x^2 - 4x - 80)\)
5. \(2x^2 - 4x + 20 \leq -2x^2 + 4x + 80\)
6. \(4x^2 - 8x - 60 \leq 0\)
7. \(x^2 - 2x - 15 \leq 0\)
8. \((x - 5)(x + 3) \leq 0\)
9. \(x \in [-3, 5]\)