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

Answer 1

To solve the equation \( 2 \cdot (x - 3) = 0 \) using the Zero Product Property, we can set the expression inside the parentheses equal to zero because a product is zero only if at least one of its factors is zero.

Thus, we first set the equation as follows:

\[ x - 3 = 0 \]

Now, we can solve for \( x \) by adding 3 to both sides:

\[ x = 3 \]

Therefore, the value that makes the statement true is \( \boxed{3} \).