document.write( "Question 622825: $\"4x%2F%28x%2B1%29%2Bx=%28-6%29%2F%28x%2B1%29\"$ \n" ); document.write( "

Algebra.Com's Answer #391650 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"4x%2F%28x%2B1%29%2Bx=%28-6%29%2F%28x%2B1%29\"$
\n" ); document.write( "multiply both sides by (x+1), clear the denominators, results:
\n" ); document.write( "4x + x(x+1) = -6
\n" ); document.write( "4x + x^2 + x = -6
\n" ); document.write( "Arrange as a quadratic equation
\n" ); document.write( "x^2 + 5x + 6 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x+3)(x+2) = 0
\n" ); document.write( "two solutions
\n" ); document.write( "x = -3
\n" ); document.write( "and x = -2
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check solution of x=-3 in the original problem
\n" ); document.write( " $\"4%28-3%29%2F%28-3%2B1%29-3=%28-6%29%2F%28-3%2B1%29\"$
\n" ); document.write( " $\"%28-12%29%2F%28-2%29-3=%28-6%29%2F%28-2%29\"$
\n" ); document.write( "+6 - 3 = +3; confirms our solution of x=-3
\n" ); document.write( ":
\n" ); document.write( "You can can check the x=-2 solution yourself \n" ); document.write( "

\n" );