Yes or No Does 3| x + 3| - 9 = 0 have a Solution

Yes...or No (empty set)

is the standard for x+3 =3???

3| x + 3| - 9 = 0

3| x + 3| = 9

Re-write this to say:
3(x + 3) = -9

and

3(x + 3) = 9

Solve for x in both equations:
3(x + 3) = -9
x + 3 = -3
x = -6

3(x + 3) = 9
x + 3 = 3
x = 0

So yea, it does have a solution, where:
x = 0 and x = -6

Yes, it has two solutions (you've already asked this question)

3 | x + 3 | − 9 = 0

3 | x + 3 | = 9

| x + 3 | = 3

x + 3 = ± 3

x = −3 ± 3

x = −6, x = 0

Sure.

3|x + 3| - 9 = 0
3|x + 3| = 9
|x + 3| = 3
That means either x + 3 = 3, or x + 3 = -3.
If x + 3 = 3, then x = 0.
If x + 3 = -3, then x = -6.

Answer: x = 0 or x = -6

3|x + 3| - 9 = 0
3|x + 3| = 9
|x + 3| = 3
x + 3 = 3 or x + 3 = -3
x = 0 or x = -6