SOLUTION: solve this -x3-x2-x>0

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Question 460856: solve this
-x3-x2-x>0
Answer by poliphob3.14(115) About Me  (Show Source):
You can put this solution on YOUR website!
-x%5E3-x%5E2-x%3E0,multiply by -1 and reverse the sign of the inequality:
x%5E3%2Bx%5E2%2Bx%3C0, factor out x; x%28x%5E2%2Bx%2B1%29%3C0. The quadratic polynomial
x%5E2%2Bx%2B1 is always positive because its discriminant is negative.
Therefore the product x%28x%5E2%2Bx%2B1%29 is negative when x<0.
Answer:The solution set of this inequality is { x| x<0 }.