SOLUTION: u cubed=14u squared+32u

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Question 275846: u cubed=14u squared+32u
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
u%5E3=14u%5E2%2B32u
To solve equations like this we need to get one side equal to zero and then factor. Subtracting the two terms on the right from each side we get:
u%5E3-14u%5E2-32u=0
Now we factor. Always start factoring with the Greatest Common Factor (GCF) unless it is 1. The GCF here is u so we'll factor it out:
u%28u%5E2-14u-32%29=0
Next we factor the trinomial:
u%28u-16%29%28u%2B2%29=0
From the Zero Product Property we know that this product is zero only if one of the factors is zero. So:
u+=+0 or u-16+=+0 or u%2B2+=+0
Solving the these we get:
u+=+0 or u+=+16 or u+=+-2