SOLUTION: How do I solve 9x^3=25x solving for x.

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Question 351162: How do I solve 9x^3=25x solving for x.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
9x^3=25x
9x^3 - 25x = 0
factor left:
x(9x^2 - 25) = 0
notice that we can rewrite expression in parenthesis as:
x((3x)^2 - 5^2) = 0
which is a "difference of squares":
x(3x-5)(3x+5) = 0
x = {0, 5/3, -5/3}