document.write( "Question 8324: In question #8318 can you help me understand where 40 came from in the equation. Is there a way to simplify or shorten? Thanks & sorry I don't understand. \n" ); document.write( "
Algebra.Com's Answer #4561 by bonster(299)![]() ![]() ![]() You can put this solution on YOUR website! when you multiply (x)(26+x) and equal that to 560 it becomes: \n" ); document.write( "26(x)+(x)(x)=560 which equals 26x+ \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "(x+40) and (x-14) comes from factoring \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In order to factorize this, you must ask yourself... \n" ); document.write( "what two numbers must I multiply to get 560 AND who's difference=26 \n" ); document.write( "If you multiply 40 and 14, you'll get 560 AND the difference of 40-14 is 26.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "BUT, we can safely conclude that we will not use (x+40)=0 because then, we would be saying that someone would be a negative age. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this case, it would only be x-14=0 which would be used because the value of \"x\" would be a positive number. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Does that make sense? \n" ); document.write( " |