VMO 1963 Problem 2

For what values of $m$ does the equation $x^2 + (2m + 6)x + 4m + 12 = 0$ has two real roots, both of them greater than $-1$ .

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.