Question

solve the following equation. write your answer in reduced fraction form, if necessary.

\\(7x)(x + 7) = 0\\

answer 2 points
separate multiple entries with commas.

\\x =\\

Explanation:

Identify the given equation

We are given the factored quadratic equation:

$$ (7x)(x + 7) = 0 $$

Apply the Zero Product Property

Using the Zero Product Property knowledge point

$$ 7x = 0 \quad \text{or} \quad x + 7 = 0 $$

Solve each linear equation

Using the Solving Quadratic Equations knowledge point

$$
LATEXBLOCK0
$$

State the final solutions

The solutions to the equation are:

$$ x = 0, -7 $$

Answer:

Solve the following equation. Write your answer in reduced fraction form, if necessary.

$$(7x)(x+7) = 0$$

\(x =\) <blank>\(0, -7\)</blank>