SOLUTION: hello, i dont know how to start or steps of how to solve this inequality. 2x^3 + 5x ^2 - 7x ----------- ------ > 0 3x^2 + 7x + 4 Well, I tried starting it, but I do

Algebra ->  Inequalities -> SOLUTION: hello, i dont know how to start or steps of how to solve this inequality. 2x^3 + 5x ^2 - 7x ----------- ------ > 0 3x^2 + 7x + 4 Well, I tried starting it, but I do      Log On


   

Question 639823: hello, i dont know how to start or steps of how to solve this inequality.
2x^3 + 5x ^2 - 7x
------------------ > 0
3x^2 + 7x + 4

Well, I tried starting it, but I dont think this first part I did was correct:
x ( 2x^2 + 5x - 7)
--------------------- > 0
3 ( x^2 + 7/3x + 4/3) And this is all I put because this is as far as I was able to get.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%5E3+%2B+5x+%5E2+-+7x%29%2F%283x%5E2+%2B+++7x++%2B++4%29%3E0
Factorize x out in the numerator

x%282x%5E2+%2B+5x+-+7%29%2F%283x%5E2+%2B+++7x++%2B++4%29%3E0
Factorize numerator and denominator

%28x%282x%5E2%2B7x-2x-7%29%29%2F%283x%5E2%2B3x%2B4x%2B4%29%3E0

%28x%28x%282x%2B7%29-1%282x%2B7%29%29%29%2F%283x%28x%2B1%29%2B4%28x%2B1%29%29%3E0
%28x%282x%2B7%29%28x-1%29%29%2F%283x%28%28x%2B1%29%283x%2B4%29%29%29%3E0
%28x-1%29%282x%2B7%29%2F%28%28x%2B1%29%283x%2B4%29%29%3E0
Proceed