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An x-intercept is a value of x that makes y equal to zero.
In your case, we have:
Clearly, since they are all multiplied, if any of the terms , or is equal to zero, then y will be equal to zero. So let's find the x-intercepts:
This term is equal to 0 when x = 0. So one of the x-intercepts is x = 0
This term is equal to zero if x = -2. So another x-intercept is x= -2
This term is equal to zero if x = 1/3. So another x-intercept is x = 1/3.
So the three x-intercepts for this equation are: 0, -2, 1/3