Final answer:
The solution set of the equation is {3/4, -1}.
Step-by-step explanation:
The solution set of the equation (4p-3)(p+1)=0 can be found by setting each factor equal to zero and solving for p. So we have two possibilities:
- 4p-3=0, which gives us p=3/4.
- p+1=0, which gives us p=-1.
Therefore, the solution set of the equation is {3/4, -1}.