1. Stating the problem: Solve the equation $x(x - ) = 0$. 2. Notice that the equation is incomplete as it stands because the expression inside the parentheses is missing a number or variable after the minus sign. Assuming the problem meant $x(x - 1) = 0$, we proceed with that. 3. The formula used here is the zero product property: If $ab = 0$, then either $a = 0$ or $b = 0$. 4. Applying the zero product property to $x(x - 1) = 0$, we set each factor equal to zero: $$x = 0$$ and $$x - 1 = 0$$ 5. Solving the second equation: $$x - 1 = 0 \implies x = 1$$ 6. Therefore, the solutions to the equation are: $$x = 0 \text{ or } x = 1$$ These are the values of $x$ that satisfy the equation $x(x - 1) = 0$.