document.write( "Question 189555: 3ax+6=a^2x+2a=
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #142240 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"3ax%2B6=a%5E2x%2B2a\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3ax=a%5E2x%2B2a-6\" Subtract 6 from both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3ax-a%5E2x=2a-6\" Subtract \"a%5E2x\" from both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%283a-a%5E2%29=2a-6\" Factor out the GCF on the left side\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%282a-6%29%2F%283a-a%5E2%29\" Divide both sides by \"3a-a%5E2\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%282%28a-3%29%29%2F%283a-a%5E2%29\" Factor the numerator\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%282%28a-3%29%29%2F%28-a%28a-3%29%29\" Factor the denominator\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-%282%28a-3%29%29%2F%28a%28a-3%29%29\" Reduce\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-%282%2Ahighlight%28%28a-3%29%29%29%2F%28a%2Ahighlight%28%28a-3%29%29%29\" Highlight the common terms. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-%282%2Across%28%28a-3%29%29%29%2F%28a%2Across%28%28a-3%29%29%29\" Cancel out the common terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-2%2Fa\" Simplify. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the answer is \"x=-2%2Fa\" where \"a%3C%3E0\" or \"a%3C%3E3\"
\n" ); document.write( "
\n" );