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 start by recognizing that for a product to be zero, at least one of the factors must be zero.

Since \(2\) is not zero, we focus on the factor \((x - 3)\):

Set the factor equal to zero: \[ x - 3 = 0 \]

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

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