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 solve the equation \( 2 \cdot (x - 3) = 0 \) using the Zero Product Property, we first recognize that for a product to equal zero, at least one of the factors must be zero.

In this case, we have:

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

Since \( 2 \) is not zero, we can set the other factor to zero:

\[ x - 3 = 0 \]

Now, we solve for \( x \):

\[ x = 3 \]

Thus, the value that makes the statement true is \( x = 3 \).