Question

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

Explanation:

Step1: Factor the quadratic equation

We factor $x^2 + 2x - 15$ into two binomials. We need two numbers that multiply to $-15$ and add to $2$, which are $5$ and $-3$.
$x^2 + 2x - 15 = (x + 5)(x - 3) = 0$

Step2: Solve for each factor

Set each factor equal to 0 and solve for $x$.
For $x + 5 = 0$:
$x = -5$
For $x - 3 = 0$:
$x = 3$

Answer:

$-5, 3$