why Hedda Gabler shoots herself in the temple toward the end of the play?

While Mrs. Elvsted and Tesman sit in the living room trying to reconstruct his manuscript from the notes Mrs. Elvsted possesses, Brack privately tells Hedda that Lovborg did not kill himself, but rather died from a wound inflicted to the bowels - either the result of an accident or someone else's fire. Brack tells Hedda that either she must account for the pistol being hers, or do whatever he tells her to, as only he can keep her from falling into the police's hands or suffering through a public scandal. Realizing that she is now in Brack's power, Hedda goes into the next room and shoots herself.

I would like to ans this question with a quotation from The Old Man and The Sea, "Man can be destroyed but not be defeated." Henrik Ibsen has always been a rebel, in my point of view, because he stood against the traditions of drama. He invented something new that was not there before him. He is called the Father of Modern Drama because he gave a new way to drama of modern period. He created or brought realism in his plays instead of romanticism, imaginism and sentimentalism in a way. He depicted the real problems or social issues of the day through his characters. His characters are full of life and are felt as they're found around us.

As being a realist, Ibsen shows the real picture of society through the actions of his character. He describes the inner thoughts of characters. Through the play, we come to know that Hedda is jealous. And all of us know, most of the women are jealous by nature even about the dresses of other fellows. Hedda also shows the symptoms of pride that's the natural phenomena. She is not satisfied with his marital life, it is also a prevailing phenomena of the modern age not of only modern age but also of our present time.

Ibsen is master to deal with any issue in a skilful manner. He also gave, though indirectly, many reasons to Hedda's suicide. Her hamartia comes through her cunningness. She thought herself superior to other but is not in actual. She plays with others lives but is victimized by her own tacts. She tries to ruin the life of Loveborg and Thea, she also remains successful in destroying Loveborg's life but ruins her own life as well. Her offer to Loveborg for pissroling himself pushes her to death in shape of suicide. Ibsen shows the real nature of human treachery and blackmailing to others when one has their secrets. Judge Brak has the secret of pistol that Hedda gives to Loveborg to commit suicide. He blackmail her to get his wishes fulfilled but she's not defeated by him instead destroys herself by commiting suicide.

Her treachery with Loveborg, Thea and even with her ownself and her tendency to Brack causes her suicide.