 This phase I trial studies the side effects and best dose of PI3K inhibitor BKM120 when given together with carboplatin and pemetrexed disodium in treating patients with stage IV non-small cell lung cancer. PI3K inhibitor BKM120 and pemetrexed disodium may stop the growth of tumor cells by blocking some of the enzymes needed for cell growth. Drugs used in chemotherapy, such as carboplatin, work in different ways to stop the growth of tumor cells, either by killing the cells or by stopping them from dividing. Giving PI3K inhibitor BKM120, carboplatin, and pemetrexed disodium together may kill more tumor cells 