(4k+5)(k+7)=0

Jasonbradley

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Jun 16, 2024

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Solving the Equation: (4k+5)(k+7)=0

This equation represents a quadratic equation in factored form. To find the solutions for k, we can use the Zero Product Property. This property states that if the product of two or more factors is zero, then at least one of the factors must be zero.

Applying the Zero Product Property

1. Set each factor equal to zero:

   • 4k + 5 = 0
   • k + 7 = 0

2. Solve for k in each equation:

   • 4k = -5
   • k = -5/4
   • k = -7

Solutions

Therefore, the solutions to the equation (4k+5)(k+7)=0 are:

k = -5/4 and k = -7

These values of k will make the original equation true, as they will cause one or both of the factors to become zero.