Final answer:
To factor the equation 2(d + 24)(d - 10) = 0, set each factor equal to zero and solve for d.
Step-by-step explanation:
To factor the equation 2(d + 24)(d - 10) = 0, we use the Zero Product Property, which states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero. So, we set each factor equal to zero and solve for d.
- Setting d + 24 = 0, we subtract 24 from both sides to get d = -24.
- Setting d - 10 = 0, we add 10 to both sides to get d = 10.
Therefore, the solutions to the equation are d = -24 and d = 10.