Factorisation Steps: To solve $x^2 + bx + c = 0$, find two numbers, $m$ and $n$, that multiply to the constant term $c$ and add to the coefficient $b$.

Using Factor Pairs: List factor pairs of the constant term. For example, for $x^2 + 7x + 12 = 0$, the pairs are $(1, 12)$, $(2, 6)$, and $(3, 4)$. Only $(3, 4)$ adds up to 7, matching the coefficient of $x$.

Why Factorisation Works: Factorisation breaks down the quadratic into linear factors, making it easier to identify solutions directly without complex calculations.