Use the Zero Product Property to find the value of x that makes the following statement true: 2⋅(x−3)=0.(1 point)The value that makes the statement true is x=

Answer 1

To solve the equation \(2 \cdot (x - 3) = 0\) using the Zero Product Property, we start by recognizing that for a product to equal zero, at least one factor must be zero.

In this case, we have:

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

Since \(2\) is a nonzero constant, the only factor that can equal zero is:

\[ x - 3 = 0 \]

Now, we solve for \(x\):

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

Therefore, the value that makes the statement true is:

\[ \boxed{3} \]