Question

$m^2 - 5m - 14 = 0$

Explanation:

Step1: Factor the quadratic equation

We need two numbers that multiply to $-14$ and add to $-5$. These numbers are $-7$ and $2$.
$$m^2 - 5m - 14 = (m - 7)(m + 2) = 0$$

Step2: Solve for $m$

Set each factor equal to 0 and solve.
For $m - 7 = 0$: $m = 7$
For $m + 2 = 0$: $m = -2$

Answer:

$m = 7$ or $m = -2$