Question

Question

Use the Zero Product Property to find the value of x that makes the following statement true: 2⋅(x−3)=0
2
⋅
(
𝑥
−
3
)
=
0
.(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 note that for a product to equal zero, at least one of the factors must be zero.

Since 2 is a constant and not equal to zero, we can set the other factor equal to zero:

\[ x - 3 = 0 \]

Now, solve for \( x \):

\[ x = 3 \]

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