document.write( "Question 143996: need help bad\r
\n" ); document.write( "\n" ); document.write( "1/z+1 - 6-z/6z = 0
\n" ); document.write( "

Algebra.Com's Answer #104811 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%281%29%2F%28z%2B1%29-%286-z%29%2F%286z%29=0\" Start with the given equation\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Multiply both sides by the LCD \"6z%28z%2B1%29\". Doing this will clear the fractions.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"6z-%28z%2B1%29%286-z%29=0\" Distribute and multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"6z-%28-z%5E2%2B5z%2B6%29=0\" Foil\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"6z%2Bz%5E2-5z-6=0\" Distribute\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"z%5E2%2Bz-6=0\" Combine like terms\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28z%2B3%29%28z-2%29=0\" Factor the left side (note: if you need help with factoring, check out this solver)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
\n" ); document.write( "\n" ); document.write( "\"z%2B3=0\" or \"z-2=0\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"z=-3\" or \"z=2\" Now solve for z in each case\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So our answers are\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \"z=-3\" or \"z=2\" \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );