Final answer:
After simplifying the equation 6x - 9 = 6(x + 3), we get a contradiction, indicating that there are no solutions to the equation.
Step-by-step explanation:
The equation 6x - 9 = 6(x + 3) is given, and we're asked to determine how many solutions are possible for this equation. To find the number of solutions, let's simplify the equation:
- Distribute the 6 on the right side: 6x - 9 = 6x + 18.
- Subtract 6x from both sides: -9 = 18.
This leads to a contradiction since -9 does not equal 18. So, there are no solutions to this equation; it is inconsistent.