To solve the given equation, we can use the zero-product property, which states that if the product of two or more factors is equal to zero, then at least one of the factors must be zero.
Given equation: (x - 5)(x + 5) = 0
Using the zero-product property, we set each factor to zero:
x - 5 = 0 x = 5
x + 5 = 0 x = -5
Therefore, the solutions to the equation (x - 5)(x + 5) = 0 are x = 5 and x = -5.