document.write( "Question 442599: Use factoring to solve the equation\r
\n" ); document.write( "\n" ); document.write( "6x^2+23x-18=0 \n" ); document.write( "
Algebra.Com's Answer #305305 by swincher4391(1107)\"\" \"About 
You can put this solution on YOUR website!
Here's the trick:\r
\n" ); document.write( "\n" ); document.write( "Take the a term and multiply it by the c term. 6 * -18 = -108. List the factors of -108.\r
\n" ); document.write( "\n" ); document.write( "plus or minus
\n" ); document.write( "--------------
\n" ); document.write( "1 108
\n" ); document.write( "2 54
\n" ); document.write( "3 36
\n" ); document.write( "4 27
\n" ); document.write( "6 18
\n" ); document.write( "9 12\r
\n" ); document.write( "\n" ); document.write( "Is there any way to get -23 out of this?\r
\n" ); document.write( "\n" ); document.write( "yes, 4 - 27 gives us -23.\r
\n" ); document.write( "\n" ); document.write( "Thus we will have a 4x term and a -27x term.\r
\n" ); document.write( "\n" ); document.write( "so we can rewrite this as \"6x%5E2+%2B+4x+-+27x+-18\"\r
\n" ); document.write( "\n" ); document.write( "Group the first two terms and last two terms and factor out the common factor.\r
\n" ); document.write( "\n" ); document.write( "\"2x%283x%2B2%29+-+9%283x%2B2%29++=+%282x-9%29%283x%2B2%29\"\r
\n" ); document.write( "\n" ); document.write( "Thus our factorization is \"%282x-9%29%283x%2B2%29\"\r
\n" ); document.write( "\n" ); document.write( "Set each factor equal to 0:\r
\n" ); document.write( "\n" ); document.write( "(2x-9) = 0 ---> 2x = 9 x =9/2
\n" ); document.write( "(3x+2) = 0 ---> 3x = -2 x = -2/3\r
\n" ); document.write( "\n" ); document.write( "So our two solutions are \"x=expr%289%2F2%29\"\"x=expr%28-2%2F3%29\"\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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