SOLUTION: Solve for x: 1-2x-3x^2<0

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Question 940866: Solve for x: 1-2x-3x^2<0
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
1-2x-3x%5E2%3C0 ...factor
1-3x%2Bx-3x%5E2%3C0
%281-3x%29%2B%28x-3x%5E2%29%3C0
%281-3x%29%2Bx%281-3x%29%3C0
%281-3x%29%281%2Bx%29%3C0
solutions:
%281-3x%29%3C0 if 1%3C3x or x%3E1%2F3
%281%2Bx%29%3C0 if x%3C-1 or x%3C-1

solution interval:
(-infinity,-1) U (1%2F3,infinity)
graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C1-2x-3x%5E2%29+
shade the region below x-axis and left the line where x%3C-1, then also shade the region below x-axis and right from the line where x%3E1%2F3