Тригонометрическое уравнение ctg(5x-pi/3)

ctg (5x - π/3) = 0;   5x - π/3 = π/2 + πn;n∈Z; 5x = π/2 + π/3 +πn, n∈Z;

5x = 5π/6 +πn, n∈Z;  x = π/6 + πn/5, n∈Z;