Question

solve by factoring
$s^2 + 12s + 32 = 0$

the solution is $s = $
(use a comma to separate answers as needed )
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Explanation:

Step1: Factor the quadratic

Find two numbers that multiply to $32$ and add to $12$ (4 and 8).
$\boldsymbol{s^2 + 12s + 32 = (s+4)(s+8) = 0}$

Step2: Apply zero product rule

Set each factor equal to 0.
$\boldsymbol{s+4=0 \text{ or } s+8=0}$

Step3: Solve for $s$

Isolate $s$ in each equation.
$\boldsymbol{s = -4 \text{ or } s = -8}$

Answer:

$s = -4, -8$