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! \n" ); document.write( "

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 $\"highlight%28x+=+-6%29\"$ \n" ); document.write( "

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