document.write( "Question 118310: How do you solve (d+2)(d-5)=-6 if it is a polynomial equation? \n" ); document.write( "
Algebra.Com's Answer #86416 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%28d%2B2%29%28d-5%29=-6\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"d%5E2-3d-10=-6\" Foil\r
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\n" ); document.write( "\n" ); document.write( "\"d%5E2-3d-10%2B6=0\" Add 6 to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"d%5E2-3d-4=0\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"%28d-4%29%28d%2B1%29=0\" Factor the left side (note: if you need help with factoring, check out this solver)\r
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\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
\n" ); document.write( "\n" ); document.write( "\"d-4=0\" or \"d%2B1=0\" \r
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\n" ); document.write( "\n" ); document.write( "\"d=4\" or \"d=-1\" Now solve for d in each case\r
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\n" ); document.write( "\n" ); document.write( "So our answer is \r
\n" ); document.write( "\n" ); document.write( " \"d=4\" or \"d=-1\" \r
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\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "Let's check the first solution \"d=4\"\r
\n" ); document.write( "\n" ); document.write( "\"%28d%2B2%29%28d-5%29=-6\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"%284%2B2%29%284-5%29=-6\" Plug in the first solution \"d=4\"\r
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\n" ); document.write( "\n" ); document.write( "\"%286%29%28-1%29=-6\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"-6=-6\" Multiply. Since the two sides of the equation are equal, this verifies our answer.\r
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\n" ); document.write( "\n" ); document.write( "Now let's check the second solution \"d=-1\"\r
\n" ); document.write( "\n" ); document.write( "\"%28d%2B2%29%28d-5%29=-6\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"%28-1%2B2%29%28-1-5%29=-6\" Plug in the second solution \"d=-1\"\r
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\n" ); document.write( "\n" ); document.write( "\"%281%29%28-6%29=-6\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"-6=-6\" Multiply. Since the two sides of the equation are equal, this verifies our answer.\r
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\n" ); document.write( "\n" ); document.write( "So both of our answers have been verified.
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