SOLUTION: use your factoring skills to find all the solutions for x . express complex roots in simplest a+bi form 27x^3 + 45x^2 = 3x+5

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Question 815776: use your factoring skills to find all the solutions for x .
express complex roots in simplest a+bi form
27x^3 + 45x^2 = 3x+5
Found 2 solutions by Alan3354, doodles:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
27x^3 + 45x^2 = 3x+5
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27x^3 + 45x^2 - 3x - 5 = 0
Factor by grouping.

Answer by doodles(24) About Me  (Show Source):
You can put this solution on YOUR website!
First of all we should rearrange the equation so the equation is equal to 0.
So it would look like this:
27x%5E3%2B45x%5E2-3x-5=0
Since there are four terms using the 'grouping' method is probably our best choice to factor. One does this by first treating the equation as two separate parts. Like so:
27x%5E3%2B45x%5Ex2 & -3x-5
Then with each 'separate' part we factor out anything so:
27x%5E3%2B45x%5E2 factored out will be %289x%5E2%283x%2B5%29%29
-3x-5 factored out will be %28-1%283x%2B5%29%29
Then we cancel one of the like terms which is 3x+5 and combine the factored out elements so we are left with:
%289x%5E2-1%29%283x%2B5%29 as factors.
However, we are not done here as 9x%5E2-1 can be factored even more so it will be:
%283x%2B1%29%283x-1%29
So our factors in the end would be:
%283x%2B1%29%283x-1%29%283x%2B5%29
So then we solve for x which I am sure you know how to do.