document.write( "Question 122092: I am not sure how to solve this equation:
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Algebra.Com's Answer #89636 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!

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document.write( "I'm not sure how to solve it either.  It depends on whether you mean:\r
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document.write( "\"3%2F4=1-+3x-2%2Fx%2B1\"\r
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document.write( "or\r
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document.write( "\"3%2F4=1-+3x-2%2F%28x%2B1%29\"\r
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document.write( "or\r
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document.write( "\"3%2F4=1-+%283x-2%29%2F%28x%2B1%29\"\r
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document.write( "or\r
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document.write( "\"3%2F4=%281-+3x-2%29%2F%28x%2B1%29\"\r
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document.write( "I actually suspect it is the third choice, so I'll do that one.  If it is
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document.write( "really something else, write back\r
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document.write( "\"3%2F4=1-+%283x-2%29%2F%28x%2B1%29\"\r
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document.write( "First put everything on one side.\r
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document.write( "\"3%2F4-1%2B+%283x-2%29%2F%28x%2B1%29=0\"\r
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document.write( "The next thing you need is a common denominator.  Since there are no common
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document.write( "factors among the denominators, the product of the denominators (\"4%28x%2B1%29\" is your LCD.\r
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document.write( "\"%283%28x%2B1%29-1%2A4%28x%2B1%29%2B+4%283x-2%29%29%2F4%28x%2B1%29=0\"\r
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document.write( "Simplify the numerator:\r
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document.write( "\"%283x%2B3-4x-4%2B12x-8%29%2F4%28x%2B1%29=0\"
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document.write( "\"%2811x-9%29%2Fx%2B1=0\"\r
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document.write( "Now, remember that \"a%2Fb=0\" if and only if \"a=0\" and \"b%3C%3E0\"\r
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document.write( "So we need to solve \"11x-9=0\"\r
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document.write( "\"11x-9=0\"
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document.write( "\"11x=9\"
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document.write( "\"x=9%2F11\"\r
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document.write( "Check the answer\r
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document.write( "First, make sure that the solution does not cause any denominator in the
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document.write( "original equation to go to zero.\r
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document.write( "\"9%2F11%2B1%3C%3E0\", so we can consider \"9%2F11\" as a possible solution.\r
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document.write( "\"3%2F4=1-+%283%289%2F11%29-2%29%2F%289%2F11%2B1%29\"\r
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document.write( "\"3%2F4=1-+%2827%2F11-22%2F11%29%2F%2820%2F11%29\"\r
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document.write( "\"3%2F4=1-+%285%2F11%29%2F%2820%2F11%29\"\r
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document.write( "\"3%2F4=1-+%285%2F11%29%2811%2F20%29\"\r
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document.write( "\"3%2F4=1-+5%2F20\"\r
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document.write( "\"3%2F4=1-+1%2F4\":  Answer checks.  \n" );
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