document.write( "Question 275846: u cubed=14u squared+32u \n" ); document.write( "

Algebra.Com's Answer #201140 by jsmallt9(3758) $\"\"$ $\"About$

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$\"u%5E3=14u%5E2%2B32u\"$
\n" ); document.write( "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:
\n" ); document.write( " $\"u%5E3-14u%5E2-32u=0\"$
\n" ); document.write( "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:
\n" ); document.write( " $\"u%28u%5E2-14u-32%29=0\"$
\n" ); document.write( "Next we factor the trinomial:
\n" ); document.write( " $\"u%28u-16%29%28u%2B2%29=0\"$
\n" ); document.write( "From the Zero Product Property we know that this product is zero only if one of the factors is zero. So:
\n" ); document.write( " $\"u+=+0\"$ or $\"u-16+=+0\"$ or $\"u%2B2+=+0\"$
\n" ); document.write( "Solving the these we get:
\n" ); document.write( " $\"u+=+0\"$ or $\"u+=+16\"$ or $\"u+=+-2\"$ \n" ); document.write( "

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