# How do you solve  (x - 11)(x + 5) = 0 ?

$x = 11$ or $x = - 5$
The product $\left(x - 11\right) \left(x + 5\right)$ will only be zero when at least one of the factors $\left(x - 11\right)$ or $\left(x + 5\right)$ is zero. Conversely, if either of these factors is zero then their product will be zero.
So the solutions are $x = 11$ or $x = - 5$