Решите уравнение 2tg+ctgx-3=0 плиз

решение:
2tgx + ctgx - 3 = 0
2/ctgx + ctgx - 3 = 0
ctg²x - 3ctgx + 2 = 0
ctgx1 + ctgx2 = 3
ctgx1 * ctgx2 = 2
ctgx1 = 1
ctgx2 = 2
x1 = π/2 + πn
x2 = actg2 + πn