## The equation (x² + 6x + 9)² - (x² - 6x + 9)² = 0 has how many distinct solutions?

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### The equation (x² + 6x + 9)² - (x² - 6x + 9)² = 0 has how many distinct solutions?

by [email protected] » Sun Oct 30, 2022 6:28 am

00:00

A

B

C

D

E

## Global Stats

The equation (x² + 6x + 9)² - (x² - 6x + 9)² = 0 has how many distinct solutions?

(A) Zero
(B) One
(C) Two
(D) Three
(E) Four

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### Re: The equation (x² + 6x + 9)² - (x² - 6x + 9)² = 0 has how many distinct solutions?

by gmatter2012 » Sun Oct 30, 2022 8:07 am
[email protected] wrote:
Sun Oct 30, 2022 6:28 am
The equation (x² + 6x + 9)² - (x² - 6x + 9)² = 0 has how many distinct solutions?

(A) Zero
(B) One
(C) Two
(D) Three
(E) Four

$${\left(x+3\right)^2}-{\left(x-3\right)^2}=0$$
$$(x+3+x-3)(x+3-x-3)=0$$
$$2x=0$$
$$x=0$$