(i) Show that the equation \(\tan(45^\circ + x) - \tan x = 2\) can be rewritten as \(\tan^2 x + 2 \tan x - 1 = 0\).

(ii) Solve the equation \(\tan(45^\circ + x) - \tan x = 2\) for all solutions in the interval \(0^\circ \leq x \leq 180^\circ\).