Solving the Equation (k+1)(k5)=0
The equation (k+1)(k5) = 0 is already factored, which makes it very easy to solve for the possible values of k.
Understanding the Zero Product Property
The Zero Product Property states that if the product of two or more factors is zero, then at least one of the factors must be zero. In our equation, we have two factors:
 (k+1)
 (k5)
For the entire product to equal zero, one or both of these factors must be equal to zero.
Solving for k
Let's consider each factor separately:

(k+1) = 0 Subtracting 1 from both sides, we get: k = 1

(k5) = 0 Adding 5 to both sides, we get: k = 5
Conclusion
Therefore, the solutions to the equation (k+1)(k5) = 0 are k = 1 and k = 5. These are the values of k that make the equation true.