document.write( "Question 268557: please help me solve this equation: x/x+1-2=3/x-3 \n" ); document.write( "

Algebra.Com's Answer #854066 by MathTherapy(10781) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "please help me solve this equation: x/x+1-2=3/x-3\r\n" );
document.write( "*************************************************\r\n" );
document.write( ", with \r\n" );
document.write( "x(x - 3) - 2(x + 1)(x - 3) = 3(x + 1) ---- Multiplying by LCD, (x + 1)(x - 3)\r\n" );
document.write( "  \r\n" );
document.write( "       \r\n" );
document.write( "       \r\n" );
document.write( "                       \r\n" );
document.write( "       \r\n" );
document.write( "                       \r\n" );
document.write( "                 (x - 1)(x + 3) = 0 --- Factorizing the trinomial\r\n" );
document.write( " x - 1 = 0      OR    x + 3 = 0 --- Equating each binomial to 0\r\n" );
document.write( "       x = 1      OR           x =  -  3 \r\n" );
document.write( " \r\n" );
document.write( "Neither of the 2 solutions is - 1 or 3, so BOTH are VALID!

\n" ); document.write( "

\n" );