document.write( "Question 134946: Solve: \"x%5E3-5x%5E2%2B4x-20=0\" \n" ); document.write( "
Algebra.Com's Answer #98802 by jim_thompson5910(35256)\"\" \"About 
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\"x%5E3-5x%5E2%2B4x-20=0\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E3-5x%5E2%29%2B%284x-20%29=0\" Group like terms\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%28x-5%29%2B4%28x-5%29=0\" Factor out the GCF \"x%5E2\" out of the first group. Factor out the GCF \"4\" out of the second group\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2B4%29%28x-5%29=0\" Since we have the common term \"x-5\", we can combine like terms\r
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\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B4=0\" or \"x-5=0\" \r
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\n" ); document.write( "\n" ); document.write( "Now solve for x for each factor:\r
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\n" ); document.write( "\n" ); document.write( "\"x=-2i\", \"x=2i\" or \"x=5\" \r
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