document.write( "Question 61864: can you help solve this equation?
\n" ); document.write( "3x^2+9bx=ax +3ab
\n" ); document.write( "So far I've tried
\n" ); document.write( "3x^2+9bx-ax-3ab=0
\n" ); document.write( "-(a-3x)(3b+x)=0
\n" ); document.write( "I am to solve for x
\n" ); document.write( "Thanks \n" ); document.write( "
Algebra.Com's Answer #42597 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Can you help solve this equation?\r\n" );
document.write( "3x^2+9bx=ax +3ab\r\n" );
document.write( "So far I've tried\r\n" );
document.write( "3x^2+9bx-ax-3ab=0\r\n" );
document.write( "-(a-3x)(3b+x)=0\r\n" );
document.write( "I am to solve for x\r\n" );
document.write( "Thanks\r\n" );
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document.write( "Here is another (harder) way to do it using the\r\n" );
document.write( "quadratic formula:\r\n" );
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document.write( "3x² + 9bx = ax + 3ab\r\n" );
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document.write( "Get all terms on the left\r\n" );
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document.write( "3x² + 9bx - ax - 3ab = 0\r\n" );
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document.write( "Factor x out of the middle two terms\r\n" );
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document.write( "3x² + x(9b - a) - 3ab = 0\r\n" );
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document.write( "Rewrite the middle term x(9b - a) as (9b - a)x\r\n" );
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document.write( "3x² + (9b - a)x - 3ab = 0\r\n" );
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document.write( "Now this is in the form:\r\n" );
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document.write( "Ax² + Bx + C = 0\r\n" );
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document.write( "where A = 3, B = (9b - a) and C = -3ab\r\n" );
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document.write( "Notice that I used capital letters A, B, \r\n" );
document.write( "and C to prevent confusion with the small \r\n" );
document.write( "letters a and b in your equation:\r\n" );
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document.write( "Use the quadratic formula:\r\n" );
document.write( "                  ______ \r\n" );
document.write( "            -B ± ÖB²-4AC\r\n" );
document.write( "        x = —————————————\r\n" );
document.write( "                2A \r\n" );
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document.write( "                        __________________  \r\n" );
document.write( "             -(9b-a) ± Ö(9b-a)²-4(3)(-3ab)\r\n" );
document.write( "        x = ———————————————————————————————\r\n" );
document.write( "                        2(3) \r\n" );
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document.write( "                        ____________  \r\n" );
document.write( "             -(9b-a) ± Ö(9b-a)²+36ab\r\n" );
document.write( "        x = ————————————————————————————\r\n" );
document.write( "                        6 \r\n" );
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document.write( "                        _________________  \r\n" );
document.write( "             -(9b-a) ± Ö(9b-a)(9b-a)+36ab\r\n" );
document.write( "        x = ———————————————————————————————\r\n" );
document.write( "                          6 \r\n" );
document.write( "      \r\n" );
document.write( "                        _________________  \r\n" );
document.write( "             -(9b-a) ± Ö81b²-18ab+a²+36ab\r\n" );
document.write( "        x = ———————————————————————————————\r\n" );
document.write( "                          6 \r\n" );
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document.write( "                        ____________  \r\n" );
document.write( "             -(9b-a) ± Ö81b²+18ab+a²\r\n" );
document.write( "        x = ——————————————————————————\r\n" );
document.write( "                        6\r\n" );
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document.write( "                        ____________  \r\n" );
document.write( "             -(9b-a) ± Ö(9b+a)(9b+a)\r\n" );
document.write( "        x = ——————————————————————————\r\n" );
document.write( "                        6\r\n" );
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document.write( "                        _______  \r\n" );
document.write( "             -(9b-a) ± Ö(9b+a)²\r\n" );
document.write( "        x = —————————————————————\r\n" );
document.write( "                     6\r\n" );
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document.write( "                          \r\n" );
document.write( "             -(9b-a) ± (9b+a)\r\n" );
document.write( "        x = —————————————————————\r\n" );
document.write( "                     6\r\n" );
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document.write( "                      \r\n" );
document.write( "Using the +,\r\n" );
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document.write( "             -(9b-a) + (9b+a)\r\n" );
document.write( "        x = —————————————————————\r\n" );
document.write( "                     6\r\n" );
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document.write( "             -9b + a + 9b + a\r\n" );
document.write( "        x = ——————————————————\r\n" );
document.write( "                     6\r\n" );
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document.write( "             2a\r\n" );
document.write( "        x = ————\r\n" );
document.write( "             6\r\n" );
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document.write( "             a\r\n" );
document.write( "        x = ———\r\n" );
document.write( "             3\r\n" );
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document.write( "Using the -,\r\n" );
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document.write( "             -(9b-a) - (9b+a)\r\n" );
document.write( "        x = —————————————————————\r\n" );
document.write( "                     6\r\n" );
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document.write( "             -9b + a - 9b - a\r\n" );
document.write( "        x = ——————————————————\r\n" );
document.write( "                     6\r\n" );
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document.write( "             -18b\r\n" );
document.write( "        x = ——————\r\n" );
document.write( "               6\r\n" );
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document.write( "               \r\n" );
document.write( "        x = -3b\r\n" );
document.write( "             \r\n" );
document.write( "So the two solutions are \r\n" );
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document.write( "             a\r\n" );
document.write( "        x = ———  and  x = -3b\r\n" );
document.write( "             3\r\n" );
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document.write( "Edwin
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