If $\alpha,\beta,\gamma,\delta$ are the solutions of the equation $\tan\big(\theta+\large\frac{\pi}{4}\big)=$$3\tan 3\theta$,no two of which have equal tangents,then the value of $\tan\alpha+\tan\beta+\tan\gamma+\tan\delta$ is equal to

Question

$(a)\;1\qquad(b)\;-1\qquad(c)\;2\qquad(d)\;0$