29. 5 sin (x + π/4) = -1.

29. sin (x + π/4) = -1

x + π/4 = -π/2 + 2πn, n ∈ Z

x = -π/2 - π/4 + 2πn, n ∈ Z

x = -3π/4 + 2πn, n ∈ Z

Ответ: x = -3π/4 + 2πn, n ∈ Z