Use the Zero Product Property to find the value of x that makes the following statement true: 2⋅(x−3)=0

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To solve the equation \( 2 \cdot (x - 3) = 0 \) using the Zero Product Property, we follow these steps:

  1. Identify the product: The equation is already in the form of a product equal to zero. The product is \( 2 \) and \( (x - 3) \).

  2. Set the product to zero: According to the Zero Product Property, if the product of two factors is zero, then at least one of the factors must be zero. Since \( 2 \) is a constant and not equal to zero, we focus on the other factor:

    \[ (x - 3) = 0 \]

  3. Solve for \( x \): Now, we can solve the equation \( x - 3 = 0 \):

    \[ x - 3 = 0 \implies x = 3 \]

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

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