The solution set for the equation -n² - 8n = 0 is found by factoring, resulting in two solutions: n = 0 and n = -8.
Step-by-step explanation:
The solution set for the equation -n² - 8n = 0 can be found by factoring the left side of the equation. First, factor out a -n from each term:
-n(n + 8) = 0
Now, we set each factor equal to zero and solve for n:
-n = 0 gives us n = 0
n + 8 = 0 gives us n = -8
The solution set, therefore, contains two values: 0, -8.
Th eprobable question can be: Find the solution set for this equation. -n^(2)-8n=0 Separate the two values with a comma.