Question

solve the equation.
$n^2 - n - 6 = 0$
$n = \square$
(use a comma to separate answers as needed.)

Explanation:

Step1: Factor the quadratic expression

We find two numbers that multiply to $-6$ and add to $-1$: $-3$ and $2$.
$n^2 - n - 6 = (n - 3)(n + 2) = 0$

Step2: Set each factor equal to 0

For the product to be 0, at least one factor is 0.
$n - 3 = 0$ or $n + 2 = 0$

Step3: Solve for $n$

Solve each linear equation separately.
$n = 3$ or $n = -2$

Answer:

$3, -2$