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

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) (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) (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:

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:
&
Then with each 'separate' part we factor out anything so:
factored out will be
factored out will be
Then we cancel one of the like terms which is 3x+5 and combine the factored out elements so we are left with:
as factors.
However, we are not done here as can be factored even more so it will be:

So our factors in the end would be:

So then we solve for x which I am sure you know how to do.

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