(k-5)%3D0-solve-by-factoring.jpeg "(k+1)(k-5)=0 Solve By Factoring")
Solving (k+1)(k-5) = 0 by Factoring
This equation is already in factored form, which makes solving for k very straightforward. Here's how we can solve it:
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, (k+1) and (k-5) are the factors.
Solving for k
To find the values of k that make the equation true, we set each factor equal to zero and solve:
- Factor 1: k + 1 = 0
- Subtract 1 from both sides: k = -1
- Factor 2: k - 5 = 0
- Add 5 to both sides: k = 5
Solutions
Therefore, the solutions to the equation (k+1)(k-5) = 0 are k = -1 and k = 5.
In summary, by using the Zero Product Property, we were able to quickly and easily find the solutions to the equation by setting each factor equal to zero and solving for k.