Final answer:
The disagreements between the US and Spanish Florida were settled by the Adams-Onís Treaty in 1819, where Spain ceded Florida to the US for $5 million and the U.S. renounced claims to Texas temporarily.
Step-by-step explanation:
The disagreements between the United States and Spanish Florida were ultimately resolved by diplomatic means, culminating in the signing of the Adams-Onís Treaty in 1819. Spain was motivated to negotiate with the United States due to its inability to effectively control the Florida territory and the ongoing challenges it faced in its broader empire, particularly with the rise of revolutions in Latin America. Following incursions into Florida by American forces under the command of Andrew Jackson and subsequent military actions, the Spanish government recognized that it was no longer feasible to maintain its weak hold on Florida. Consequently, Spain agreed to cede Florida to the United States as part of the Adams-Onís Treaty, with the U.S. compensating Spain with $5 million and relinquishing temporary claims to Texas. The treaty also defined the boundary between the United States and Mexico, setting it at the Sabine River.