SOLUTION: I am stumped on one of my algebra questions. (-2x^3)+(x^2)+18X-9=0

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Question 342547: I am stumped on one of my algebra questions.
(-2x^3)+(x^2)+18X-9=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let's factor -2x%5E3%2Bx%5E2%2B18x-9


-2x%5E3%2Bx%5E2%2B18x-9 Start with the given expression


%28-2x%5E3%2Bx%5E2%29%2B%2818x-9%29 Group like terms


-x%5E2%282x-1%29%2B9%282x-1%29 Factor out the GCF -x%5E2 out of the first group. Factor out the GCF 9 out of the second group


%28-x%5E2%2B9%29%282x-1%29 Since we have the common term 2x-1, we can combine like terms


%289-x%5E2%29%282x-1%29 Rearrange the terms.


%283%2Bx%29%283-x%29%282x-1%29 Now factor 9-x%5E2 to get %283%2Bx%29%283-x%29


So -2x%5E3%2Bx%5E2%2B18x-9 completely factors to %283%2Bx%29%283-x%29%282x-1%29


So -2x%5E3%2Bx%5E2%2B18x-9=0 is equivalent to %283%2Bx%29%283-x%29%282x-1%29=0


So all you have to do now is solve %283%2Bx%29%283-x%29%282x-1%29=0, which I'll let you do.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider a making a donation at my website. Thanks.

Jim