document.write( "Question 304646: could you please help me solve \"+2x%28x%2B3%29%28x-3%29less+than+or+equal+to+0+\"
\n" ); document.write( "I got x=0, x=-3, x=3 for the critical points. I just dont understand how to getr the rest of the answer sicne x=0 for one of the critical points.
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Algebra.Com's Answer #218129 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Break up the number line into four regions.
\n" ); document.write( "(\"-infinity\",\"-3\")
\n" ); document.write( "(\"-3\",\"0\")
\n" ); document.write( "(\"0\",\"3\")
\n" ); document.write( "(\"3\",\"infinity\")
\n" ); document.write( "Then for each region pick a point (not the endpoints).
\n" ); document.write( "Test the inequality.
\n" ); document.write( "If it solves it, that region is part of the solution.
\n" ); document.write( "Then move on to the next region.
\n" ); document.write( "Region 1:
\n" ); document.write( "(\"-infinity\",\"-3\")
\n" ); document.write( "Let \"x=-4\"
\n" ); document.write( "\"2x%28x%2B3%29%28x-3%29%3C0\"
\n" ); document.write( "\"2%28-4%29%28-4%2B3%29%28-4-3%29%3C0\"
\n" ); document.write( "\"2%28-4%29%28-1%29%28-7%29%3C0\"
\n" ); document.write( "\"-56%3C0\"
\n" ); document.write( "True, first region is part of the solution.
\n" ); document.write( "Move on.
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\n" ); document.write( "Region 2:
\n" ); document.write( "(\"-3\",\"0\")
\n" ); document.write( "Let \"x=-1\"
\n" ); document.write( "\"2x%28x%2B3%29%28x-3%29%3C0\"
\n" ); document.write( "\"2%28-1%29%28-1%2B3%29%28-1-3%29%3C0\"
\n" ); document.write( "\"2%28-1%29%282%29%28-4%29%3C0\"
\n" ); document.write( "\"16%3C0\"
\n" ); document.write( "False, second region is not part of the solution.
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\n" ); document.write( "Continue to the third and fourth regions to complete the solution.
\n" ); document.write( "Re-post if you need more help. \r
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