CMOQR 2018 Problem 1

Determine all real solutions to the following system of equations: $\begin{cases} y = 4x^3 + 12x^2 + 12x + 3 x = 4y^3 + 12y^2 + 12y + 3. \end{cases}$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.