Question

$m^2 - 7m - 18 = 0$

Explanation:

Step1: Factor the quadratic expression

Find two numbers that multiply to $-18$ and add to $-7$; these numbers are $-9$ and $2$.
$m^2 - 7m - 18 = (m - 9)(m + 2) = 0$

Step2: Solve for $m$

Set each factor equal to 0 and solve.
$m - 9 = 0 \quad \text{or} \quad m + 2 = 0$

Answer:

$m = 9$ or $m = -2$