Question

Question

Use the Zero Product Property to find the value of x that makes the following statement true: 2⋅(x−3)=0
.(1 point)
The value that makes the statement true is 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, at least one of the factors must be zero. Here, we have a constant (2) multiplied by the expression \( (x - 3) \). Since the constant 2 is not zero, we set the other factor equal to zero:

\[ x - 3 = 0 \]

Now, solve for \( x \):

\[ x = 3 \]

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

\[ \boxed{3} \]