document.write( "Question 321207: I am trying to solve an equation with 2 variables. I am solving for x.\r
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Algebra.Com's Answer #230026 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "It's already solved for x.  If the left side of an equation \r\n" );
document.write( "is \" x = \" and the letter x does not appear on the right side\r\n" );
document.write( "at all, then the equation is solved for x. \r\n" );
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document.write( "Did you mean to say you were solving for t and not x, and\r\n" );
document.write( "just mistyped?\r\n" );
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document.write( "If so, then to solve for t, then we get zero on one side\r\n" );
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document.write( "\"x+=+6t%5E2+-+24t+%2B+24\"\r\n" );
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document.write( "Swap sides \r\n" );
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document.write( "\"6t%5E2+-+24t+%2B+24=x\"\r\n" );
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document.write( "Subtract x from both sides:\r\n" );
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document.write( "\"6t%5E2+-+24t+%2B+24-x=0\"\r\n" );
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document.write( "Put parentheses around the last two terms on the left\r\n" );
document.write( "to show that together they can be used to substitute\r\n" );
document.write( "for c in the quadratic formula.  This step may be\r\n" );
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document.write( "\"6t%5E2+-+24t+%2B+%2824-x%29=0\"\r\n" );
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document.write( "Then we use the quadratic formula with \"a=6\", \"b=-24\", \"c=%2824-x%29\"\r\n" );
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document.write( "\"t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r\n" );
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document.write( "\"t+=+%2824+%2B-+sqrt%28576-24%2824-x%29+%29%29%2F12+\"\r\n" );
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document.write( "\"t+=+%2824+%2B-+sqrt%28576-576%2B24x%29+%29%2F12+\" \r\n" );
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document.write( "\"t+=+%2824+%2B-+sqrt%2824x%29+%29%2F12+\"\r\n" );
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document.write( "\"t+=+%2824+%2B-+sqrt%284%2A6x%29+%29%2F12+\"\r\n" );
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document.write( "\"t+=+%2824+%2B-+2sqrt%286x%29+%29%2F12+\"\r\n" );
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document.write( "Factor 2 out of the top\r\n" );
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document.write( "\"t+=+%282%2812+%2B-+sqrt%286x%29%29+%29%2F12+\"\r\n" );
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document.write( "Cancel the 2 in the top into the 12 on the bottom\r\n" );
document.write( "getting 6 on the bottom:\r\n" );
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document.write( "\"t+=+%28cross%282%29%2812+%2B-+sqrt%286x%29%29+%29%2F%286%5Ecross%2812%29%29+\"\r\n" );
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document.write( "\"t+=+%2812+%2B-+sqrt%286x%29+%29%2F6+\"\r\n" );
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document.write( "That's really two solutions:\r\n" );
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document.write( "1.  \"t+=+%2812+%2B+sqrt%286x%29+%29%2F6+\"\r\n" );
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document.write( "2.  \"t+=+%2812+-+sqrt%286x%29+%29%2F6+\"\r\n" );
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document.write( "Edwin
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