Question

find the solution set.
$x^2 + 8x + 15 = 0$
separate the two values with a comma.
enter the correct answer.

Explanation:

Step1: Factor the quadratic equation

We need two numbers that multiply to $15$ and add to $8$. These numbers are $3$ and $5$, so:
$x^2 + 8x + 15 = (x+3)(x+5) = 0$

Step2: Solve for $x$

Set each factor equal to 0:
$x+3=0 \implies x=-3$
$x+5=0 \implies x=-5$

Answer:

-3, -5