Solve the equation 2tan2θ+3tanθ−2=0 for all θ in the interval 0≤θ<2π, where θ=2π+kπ,k∈Z.
(i) Solve the quadratic in tanθ to obtain its real roots.
(ii) For each root, find every value of θ in 0≤θ<2π that satisfies the original equation, taking into account the domain restrictions of the tangent function.