ZA-SAMO 2000 Problem 2

Solve for $x$ , given $36x^4 + 36x^3 - 7x^2 - 6x + 1 = 0$ .

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.