SOLUTION: solve for x: 4x=-5x^2 +2x^3

Question 643589: solve for x: 4x=-5x^2 +2x^3
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

For any polynomial equation of degree greater than 1, you want one side of the equation to be a zero. So we'll start by subtracting 4x from each side:

Before we factor, let's put the terms in order from highest exponent to lowest:

Now we factor. First the greatest common factor , GCF, which is x:

This is as far as the expression will factor. From this and the Zero Product property we know that one of these factors must be zero. So
or
To find the solutions to the second equation, we will use the Quadratic Formula:

Simplifying...

which is short for:
or

So the three solutions are:
or or
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