Final answer:
The negative solution to the equation 3^2 - 2x = 16 is x = -3.5.
Step-by-step explanation:
To find the negative solution to the equation 3^2 - 2x = 16, we need to isolate the variable x. First, let's simplify the equation: 9 - 2x = 16. Next, let's move 9 to the other side of the equation by subtracting it from both sides: -2x = 16 - 9. This gives us -2x = 7. Finally, we divide both sides of the equation by -2 to solve for x: x = 7/-2. Simplifying further, x = -3.5.
Therefore, the negative solution to the equation 3^2 - 2x = 16 is x = -3.5. None of the answer choices A) -4, B) -2, C) -1, or D) -8 match the correct solution.