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 need to set each factor equal to zero. However, in this case, we can simplify the equation directly.

Since \( 2 \) is a non-zero constant, the only way for the product to equal zero is if the other factor is zero. So, we set the expression inside the parentheses equal to zero:

\[ x - 3 = 0 \]

Now, solve for \( x \):

\[ x = 3 \]

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