For the dissociation A ⇌ B + C, set the initial [A] and the equilibrium constant K. The table fills the Initial / Change / Equilibrium rows and the x-algebra is solved step by step.
| A | B | C | |
|---|---|---|---|
| I (initial) | 0 | 0 | |
| C (change) | −x | +x | +x |
| E (equil.) |
Try: push K small (< 10⁻⁴) and watch the "small-x approximation" turn valid (x ≪ [A]₀); then crank K toward 1 and see it break the 5% rule, so you must solve the full quadratic.