document.write( "Question 992286: Find all real or imaginary solutions for the following equation:\r
\n" ); document.write( "\n" ); document.write( "(1/x) + 1/(x-1) = (3/2)\r
\n" ); document.write( "\n" ); document.write( "I have really been struggling with using imaginaries and fractions. Help is greatly appreciated.
\n" ); document.write( "Thank you! \n" ); document.write( "

Algebra.Com's Answer #611891 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "Find all real or imaginary solutions for the following equation:\r
\n" ); document.write( "\n" ); document.write( "(1/x) + 1/(x-1) = (3/2)\r
\n" ); document.write( "\n" ); document.write( "I have really been struggling with using imaginaries and fractions. Help is greatly appreciated.
\n" ); document.write( "Thank you!
\n" ); document.write( "


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document.write( "2(x - 1) + 2x = 3x(x - 1) ------ Multiplying through by LCD: 2x(x - 1)
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document.write( "(3x - 1)(x - 2) = 0 ------ Factoring trinomial to determine solutions
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document.write( "3x - 1 = 0        OR       x - 2 = 0
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document.write( "     OR       
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document.write( "Both satisfy the original equation so both are solutions. \n" );
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