What are the solutions to the equation (x-2) (x + 5) = 0?

Step-by-step explanation:

A product of two (or more) factor can be zero if and only if at least one of the factors is zero.

In other words, you cannot multiply two non-zero real numbers, and have zero as a result.

So, if we want the product of these two factors to be zero, at least one of them has to be zero.

The first factor is zero if

x-2=0 x=2

The second factor is zero if

x + 5 = 0 x = - 5