Final answer:
The solutions to the equation (x + 6)(-x + 1) = 0 are x = -6 and x = 1. Listed from least to greatest, the solutions are -6, 1.
Step-by-step explanation:
To solve the equation (x + 6)(-x + 1) = 0, we need to find the values of x that make the equation true. This can be done by setting each factor equal to zero and solving for x:
- x + 6 = 0 → x = -6
- -x + 1 = 0 → x = 1
Thus, there are two solutions to this quadratic equation: x = -6 and x = 1. Since we need to enter these solutions from least to greatest, the answer is -6, 1.