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

.(1 point)

1 answer

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

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

According to the Zero Product Property, if a product is equal to zero, at least one of the factors must be equal to zero. In this case, we have:

  1. \( 2 \neq 0 \) (this factor cannot be zero), so we focus on the other factor:

\[ (x - 3) = 0 \]

Now we solve for \( x \):

\[ x - 3 = 0 \]

Adding 3 to both sides gives:

\[ x = 3 \]

Thus, the value of \( x \) that makes the statement true is:

\[ \boxed{3} \]