Question

use the zero-product property to solve the following equation. write your solutions as a set in roster form
$x^2 + 12x + 35 = 0$
the solution set is { }
(use a comma to separate answers as needed )

Explanation:

Step1: Factor the quadratic

$x^2 + 12x + 35 = (x+7)(x+5) = 0$

Step2: Apply zero-product property

Set each factor to 0:
$x+7=0$ or $x+5=0$

Step3: Solve for $x$

$x = -7$ or $x = -5$

Step4: Write as roster set

$\{-7, -5\}$

Answer:

$\{-7, -5\}$