(x + 2)(x - 3) < (x - 2)(x + 3)
x² - 3x + 2x - 6 < x² + 3x - 2x - 6
x² - x - 6 < x² + x - 6
x² - x - x² - x < - 6 + 6
- 2x < 0 |:(-2)
x > 0
x ∈ (0, + ∞)