document.write( "Question 57580: w^3+5w^2-w=5\r
\n" ); document.write( "\n" ); document.write( "can someone please help. thank you in advance \n" ); document.write( "

Algebra.Com's Answer #39295 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"w%5E3%2B5w%5E2-w=5\"$ Set = to 0
\n" ); document.write( " $\"w%5E3%2B5w%5E2-w-5=5-5\"$
\n" ); document.write( " $\"w%5E3%2B5w%5E2-w-5=0\"$ Factor by grouping
\n" ); document.write( " $\"%28w%5E3%2B5w%5E2%29%2B%28-w-5%29=0\"$ Factor the GCF in each group
\n" ); document.write( " $\"w%5E2%28w%2B5%29-1%28w%2B5%29=0\"$ Factor out w+5
\n" ); document.write( " $\"%28w%2B5%29%28w%5E2-1%29=0\"$ Factor $\"w%5E2-1\"$ , it's the difference of squares
\n" ); document.write( " $\"%28w%2B5%29%28w%2B1%29%28w-1%29=0\"$ Set each parenthesis = 0 and solve for w.
\n" ); document.write( "w+5=0 and w+1=0 and w-1=0
\n" ); document.write( "w+5-5=0-5 and w+1-1=0-1 and w-1+1=0+1
\n" ); document.write( "w=-5 and w=-1 and w=1
\n" ); document.write( "Some books write the solution set as: w={-5,-1,1}
\n" ); document.write( "Happy Calculating!!!\r
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