Final answer:
White Americans tried to solve the "Indian problem" by negotiating treaties to establish reservations and by forcibly relocating tribes through acts such as the Indian Removal Act of 1830, leading to loss of Native American land and culture.
Step-by-step explanation:
The strategies employed by white Americans to address the "Indian problem" and acquire tribal land primarily involved treaties and forced relocation. One key method was negotiating treaties such as the First Treaty of Fort Laramie in 1851, which established reservations but often failed due to broken promises and government corruption. A second approach was the Indian Removal Act of 1830, which led to the forced displacement of tribes, including the infamous "Trail of Tears." These policies aimed to clear the path of expanding white settlement and were part of a larger federal strategy to civilize and assimilate Indigenous populations, ultimately leading to significant losses of Native American land and culture.