Answer :

To solve the equation [tex]\( \frac{16}{x} = -16 \)[/tex], follow these steps:

1. Understand the given equation:
[tex]\[ \frac{16}{x} = -16 \][/tex]

2. Isolate [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], we need to eliminate the fraction. Multiply both sides of the equation by [tex]\( x \)[/tex]:
[tex]\[ 16 = -16x \][/tex]

3. Solve for [tex]\( x \)[/tex]:
Now, divide both sides of the equation by [tex]\(-16\)[/tex] to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{16}{-16} \][/tex]

4. Simplify the fraction:
Simplify [tex]\( \frac{16}{-16} \)[/tex]:
[tex]\[ x = -1 \][/tex]

Therefore, [tex]\( x \)[/tex] is equal to [tex]\(-1\)[/tex]. The correct answer is:
[tex]\[ \boxed{-1} \][/tex]

Thus (b) is the correct choice.