The Zero Product Property states that if the product of two numbers (or expressions) is zero, then at least one of the factors must be zero. This property is often used to solve quadratic equations or other polynomial equations.
In your case, you only have a single expression, \(8x - 1\). To apply the Zero Product Property, we first need to set the expression to zero:
\[ 8x - 1 = 0 \]
Now, let's solve for \(x\):
- Add 1 to both sides:
\[ 8x = 1 \]
- Divide both sides by 8:
\[ x = \frac{1}{8} \]
Thus, the solution to the equation \(8x - 1 = 0\) is:
\[ x = \frac{1}{8} \]
If you had other factors or expressed this as a product of two expressions that equals zero, you would then apply the Zero Product Property directly. In this situation, we only had a single linear expression to solve.