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

Question

The value that makes the statement true is x=
𝑥
=
.

Answer 1

To use the Zero Product Property, we start with the equation:

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

According to the Zero Product Property, if the product of two factors is zero, then at least one of the factors must be zero. Here, since \(2\) is not equal to zero, we focus on the other factor:

\[ x - 3 = 0. \]

To solve for \(x\), we add \(3\) to both sides of the equation:

\[ x = 3. \]

Thus, the value that makes the statement true is:

\[ x = 3. \]