What is |3x+8|=0 by completing the square method?

To solve the equation |3x+8| = 0 using the completing the square method, we first need to isolate the absolute value expression:

|3x+8| = 0

Since the absolute value of any number is always non-negative, the absolute value can only be equal to zero when the expression inside the absolute value bars is equal to zero. Therefore, we can set up the equation:

3x + 8 = 0

Now, we can solve for x by completing the square:

3x + 8 = 0
3x = -8
x = -8/3

Therefore, the solution to the equation |3x+8| = 0 is x = -8/3.