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 can set each factor to zero.

Since \( 2 \) is a non-zero constant, we can ignore it and focus on the factor \( (x - 3) \):

Set \( (x - 3) = 0 \): \[ x - 3 = 0 \]

Now, solve for \( x \): \[ x = 3 \]

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