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Solve the equation using Ze (p+8)(p+2)=0

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Final answer:

The equation (p + 8)(p + 2) = 0 is solved by setting each factor equal to zero and solving for p, resulting in two solutions: p = -8 and p = -2.

Step-by-step explanation:

To solve the equation (p + 8)(p + 2) = 0, we apply the Zero Product Property which states that if the product of two factors is zero, then at least one of the factors must equal zero.

  1. Set each factor equal to zero:
    • p + 8 = 0
    • p + 2 = 0
  2. Solve each equation for p:
    • p = -8
    • p = -2

Therefore, the solution to the equation is p = -8 and p = -2.

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