SOLUTION: Please help me figure out how to find the x intercepts of this equation: y= -3x^3 + 18x - 27x

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Question 689597: Please help me figure out how to find the x intercepts of this equation:
y= -3x^3 + 18x - 27x
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
I think the problem is:
y= -3x^3 + 18x^2 - 27x
x intercept occur when y = 0
-3x^3 + 18x^2 - 27x = 0
Factor out -3x
-3x(x^2 - 6x + 9) = 0
a perfect square is revealed, factor it to
-3x(x-3)(x-3) = 0
the x intercepts:
-3x = 0
x = 0
and
x = 3