Final Answer:
The multiplication property of equality could be used to solve equation d. (x + 2)(x + 7) = 0.
Step-by-step explanation:
The multiplication property of equality allows us to isolate the variable by multiplying both sides of an equation by the same non-zero value.
In the given options, equation d. (x + 2)(x + 7) = 0 involves the multiplication of two expressions, and the multiplication property of equality is applicable when setting each factor equal to zero.
By applying the multiplication property to each factor separately, we can find the values of x that satisfy the equation.
Therefore, (x + 2) = 0 or (x + 7) = 0. Solving these equations individually gives us x = -2 and x = -7.
These are the solutions that make the entire expression (x + 2)(x + 7) equal to zero.
This property is particularly useful when dealing with equations that involve multiple factors or expressions.
In this case, it helps identify the values of the variable that satisfy the given equation.
In summary, the correct answer is d. (x + 2)(x + 7) = 0, and the multiplication property of equality is applied to solve for x by setting each factor equal to zero.