Question

solve by applying the zero product property.

\\12n(n + 2) = 5n - 5\\

if there is more than one solution, separate the answers with commas.

the solution set is \\(\\{\square\\}\\).

Explanation:

Expand the left side of the equation

Using the Factoring Polynomials knowledge point

$$ 12n(n + 2) = 12n^2 + 24n $$

Rewrite in standard quadratic form

Using the Factoring Polynomials knowledge point

$$
LATEXBLOCK0
$$

Factor the quadratic equation

Using the Factoring Polynomials knowledge point

$$
LATEXBLOCK1
$$

Apply the zero product property

We set each linear factor to zero to find the solutions.

$$
LATEXBLOCK2
$$

Answer:

Solve by applying the zero product property.

$$12n(n + 2) = 5n - 5$$

If there is more than one solution, separate the answers with commas.

The solution set is {<blank>\(-\frac{1}{3}, -\frac{5}{4}\)</blank>}.