Mathpapa's Elegant Sledgehammer Approach

Behold, the mathematical equivalent of using a nuclear warhead to kill a fly. Mathpapa just performed the most unnecessary step in history by subtracting 1 from both sides of an equation that already had a perfectly good "+1" on the right. Then it casually jumps to "use quartic formula" like we all have that memorized next to our grocery lists. The best part? There are only two solutions shown for a 4th degree polynomial, which should have four. Apparently, the other two roots got tired of this nonsense and left the chat.