Use the Zero Product Property to solve the equation.
Left parenthesis 4 k plus 5 right parenthesis times left parenthesis k plus 7 right parenthesis equals 0
(1 point)
Responses
k equals five fourths or 7
Image with alt text: k equals five fourths or 7
k equals five fourths or negative 7
Image with alt text: k equals five fourths or negative 7
k equals negative five fourths or negative 7
Image with alt text: k equals negative five fourths or negative 7
k equals negative five fourths or 7
To solve the equation using the Zero Product Property, we set both factors equal to 0:
4k + 5 = 0
k + 7 = 0
Solving the first equation:
4k + 5 = 0
4k = -5
k = -5/4
Solving the second equation:
k + 7 = 0
k = -7
So, k = -5/4 or k = -7.