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find the x-intercepts of
y=3x^2-6x by factoring

y = 3x^2 - 6x

Factor out 3x:

y = 3x(x - 2)

Set each factor equal to 0:

3x = 0; x = 0
x - 2 = 0; x = 2

Those are your x-intercepts.

I hope this will help.

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