tolong bantu jawab 2 tan x -1 = cot x

2tan x - 1 = cot x
2tan x - cot x = 1
2tan x - 1/tan x = 1
(2tan^2 x - tan x)/ tan x = 1
2tan^2 x - tan x = tan x
2 tan^2 x - 2tanx = 0
2tan x (tan x - 1) = 0
tan x = 0 atau tan x = 1
x = 0° atau x = 45°