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 solve the equation $2\cdot (x-3)=0$ using the Zero Product Property, we start by recognizing that for a product to equal zero, at least one factor must be zero.

In this case, we have:

$$2\cdot (x-3)=0$$

Since $2$ is a nonzero constant, the only factor that can equal zero is:

$$x-3=0$$

Now, we solve for $x$:

$$x-3=0⟹x=3$$

Therefore, the value that makes the statement true is:

$$\boxed{{\displaystyle 3}}$$