document.write( "Question 1039438: Solve each rational equation. Complex numbers are very confusing for me.\r
\n" ); document.write( "\n" ); document.write( "4x over x+3
\n" ); document.write( "minus
\n" ); document.write( "12 over x-3
\n" ); document.write( "=
\n" ); document.write( "4x^2+36 over x^2-9\r
\n" ); document.write( "\n" ); document.write( "Thank you so much , I greatly appreciate the help \n" ); document.write( "
Algebra.Com's Answer #654165 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
4x/(x+3) - 12/(x-3)=4x^2+36/x^2-9
\n" ); document.write( "common denominator is (x+3)(x-3) or x^2-9. Multiply each term in the equation by that.
\n" ); document.write( "x+3 will divide into that (x-3) times and x-3 will divide into that (x+3) times.
\n" ); document.write( "4x(x-3)-12(x+3)=4x^2+36, since the x^2-9 will cancel on the right.
\n" ); document.write( "distribute
\n" ); document.write( "4x^2-12x-12x-36=4x^2+36
\n" ); document.write( "collect terms
\n" ); document.write( "4x^2-12x-12x-36=4x^2+36
\n" ); document.write( "the 4x^2 cancels.
\n" ); document.write( "-24x-36=36
\n" ); document.write( "0=24x+72
\n" ); document.write( "divide by 24
\n" ); document.write( "0=x+3
\n" ); document.write( "x= -3
\n" ); document.write( "check
\n" ); document.write( "the first has a denominator of 0. No solution.
\n" ); document.write( " \n" ); document.write( "
\n" );