(4k+5)(k+1)=0

Jasonbradley

2 min read

·

Jun 16, 2024

13

Share

Solving the Equation (4k+5)(k+1)=0

This equation involves a product of two factors equaling zero. This is a fundamental concept in algebra, and we can use it to solve for the possible values of k.

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. This property is essential for solving equations in this form.

Solving the Equation

Applying the Zero Product Property to our equation (4k+5)(k+1)=0, we have two possible scenarios:

1. 4k+5 = 0

   • Subtracting 5 from both sides: 4k = -5
   • Dividing both sides by 4: k = -5/4

2. k+1 = 0

   • Subtracting 1 from both sides: k = -1

Conclusion

Therefore, the solutions to the equation (4k+5)(k+1)=0 are k = -5/4 and k = -1. These are the values of k that make the equation true.