Use the Zero Product Property to find the value of x that makes the following statement true: 2⋅(x−3)=0

Question

.(1 point)
The value that makes the statement true is x

Answer 1

To use the Zero Product Property, we first look at the equation:

\[ 2 \cdot (x - 3) = 0 \]

According to the Zero Product Property, if a product of multiple factors equals zero, then at least one of the factors must be equal to zero. In this case, we have two factors: \(2\) and \((x - 3)\).

Since \(2\) is not equal to zero, the factor that must equal zero is:

\[ x - 3 = 0 \]

Now, we solve for \(x\):

\[ x - 3 = 0 \implies x = 3 \]

Thus, the value that makes the statement true is:

\[ \boxed{3} \]