Why did US and USSR agree to negotiate in cuban missile crisis?

During the Cuban Missile Crisis, both the US and the USSR recognized the potential for nuclear confrontation that could lead to catastrophic consequences. The intense standoff heightened fears of mutual destruction, prompting them to seek a diplomatic resolution. Negotiation allowed both superpowers to save face while avoiding escalation, leading to a compromise that included the US agreeing to withdraw missiles from Turkey in exchange for the USSR removing its missiles from Cuba. This pivotal moment underscored the necessity of communication and diplomacy in managing Cold War tensions.