Answer
The Zero-Product Property states that:
If $ab = 0$, then either $a=0$ or $b=0$ or both are zero.
The solution set of the given equation is $\left\{0, 1\right\}$.
Work Step by Step
The Zero-Product Property states that:
If $ab = 0$, then either $a=0$ or $b=0$ or both are zero.
(If the product of two numbers is zero, then at least one of them is zero.)
To solve the given equation using the Zero-Product Property, equate each factor to $0$ to obtain:
$x=0 \text{ or } x-1=0$
Solve each equation to obtain:
$x=0 \text{ or } x = 1$
Therefore the solution set of the given equation is $\left\{0, 1\right\}$.
