Question

use factoring to solve the quadratic equation. check by substitution or by using a graphing utility and identifying x-intercepts.

\\2x^2 + 12x = 0\\

rewrite the equation in factored form.

\\\box = 0\\
(factor completely.)

the solution set is \\(\\{\box\\}\\).
(type an integer or a simplified fraction. use a comma to separate answers as needed. type each solution only once.)

Explanation:

Identify the common factors

Using the Quadratic Equations knowledge point

$$
LATEXBLOCK0
$$

Factor the quadratic expression

Using the Quadratic Equations knowledge point

$$ 2x(x + 6) = 0 $$

Apply the zero-product principle

Using the Zero-Product Principle knowledge point

$$
LATEXBLOCK1
$$

Answer:

Question 1

Rewrite the equation in factored form.
<blank>\(2x(x + 6)\)</blank> \( = 0\)

Question 2

The solution set is {<blank>\(0, -6\)</blank>}.