document.write( "Question 464409: Can you please show the working using the principle of zero products\r
\n" ); document.write( "\n" ); document.write( "30d^2+34d+8 = 0 \n" ); document.write( "
Algebra.Com's Answer #318145 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "  30dē + 34d + 8 = 0\r\n" );
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document.write( "Divide every term by 2:\r\n" );
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document.write( "  15dē + 17d + 4 = 0\r\n" );
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document.write( "Factor the left side\r\n" );
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document.write( "(5d + 4)(3d + 1) = 0\r\n" );
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document.write( "Now the principle of zero product explained:\r\n" );
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document.write( "This says (5d + 4) multiplied by (3d + 1) equals zero.\r\n" );
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document.write( "The only way that can possibly happen is for one of \r\n" );
document.write( "them to equal zero.\r\n" );
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document.write( "So either 5d + 4 equals zero or 3d + 1 equals 0.\r\n" );
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document.write( "So we write and solve the two equations:\r\n" );
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document.write( "5d + 4 = 0     3d + 1 = 0\r\n" );
document.write( "    5d = -4        3d = -1\r\n" );
document.write( "     d = \"-4%2F5\"         d = \"-1%2F3\"\r\n" );
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document.write( "There are two solutions, one for each of those two\r\n" );
document.write( "possibilities.\r\n" );
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document.write( "Edwin
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