document.write( "Question 502207: |x^2+6x|=3x+18\r
\n" ); document.write( "\n" ); document.write( "I'm actually a college student trying to help my foreign exchange student with her high school algebra homework. Alas, I have forgotten how to work problems with absolute values. Any help would be wonderful!
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Algebra.Com's Answer #338783 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
\"abs%28x%5E2%2B6x%29+=+3x%2B18\" Remove the absolute-value bars from the left side and you get two equations thus:
\n" ); document.write( "1) \"x%5E2%2B6x+=+3x%2B18\" or 2) \"x%5E2%2B6x+=+-%283x%2B18%29\" Now solve each of these equations for x.
\n" ); document.write( "1) \"x%5E2%2B6x+=+3x%2B18\" Rewrite as a quadratic equation in standard form:
\n" ); document.write( "\"x%5E2%2B3x-18+=+0\" Factor this quadratic equation.
\n" ); document.write( "\"%28x-3%29%28x%2B6%29+=+6\" Apply the \"zero product\" rule:
\n" ); document.write( "\"x-3+=+0\" or \"x%2B6+=+0\" so that...
\n" ); document.write( "\"highlight%28x+=+3%29\" or \"highlight%28x+=+-6%29\"
\n" ); document.write( "2) \"x%5E2%2B6x+=+-%283x%2B18%29\" Simplify the right side.
\n" ); document.write( "\"x%5E2%2B6x+=+-3x-18\" Rewrite as a quadratic equation in standard form:
\n" ); document.write( "\"x%5E2%2B9x%2B18+=+0\" Factor this quadratic equation.
\n" ); document.write( "\"%28x%2B3%29%28x%2B6%29+=+0\" Apply the \"zero product\" rule:
\n" ); document.write( "\"x%2B3+=+0\" or \"x%2B6+=+0\" so that...
\n" ); document.write( "\"highlight%28x+=+-3%29\" or \"highlight%28x+=+-6%29\"
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