Which property would not be used to solve the equation (x + 3)/2 = (x - 4)/5?

The zero product property is specifically used in situations where a product of factors equals zero, indicating that at least one of the factors must also be zero. This property is not relevant for solving the equation ((x + 3)/2 = (x - 4)/5) because the equation involves rational expressions rather than products that could equal zero.

When solving the given equation, you would most likely utilize the distributive property to expand expressions if necessary and the addition and subtraction properties of equality to isolate the variable (x). These properties help in manipulating the equation to combine like terms or move terms from one side to another. Therefore, while properties like addition and subtraction are crucial for rearranging and solving, the zero product property does not apply here.