document.write( "Question 81902This question is from textbook Algebra 1
\n" ); document.write( ": I'm really having trouble with these few problems here and I can't call anyone from my Algebra class that I know because they're all busy, so I was hoping that someone could help me? If you can you would forever have my gratitude!!\r
\n" ); document.write( "\n" ); document.write( "10. x/x^2-3=5/x+4 I know there is two answers to this problem\r
\n" ); document.write( "\n" ); document.write( "14. 4w/3w-2+2w/3w+2=2 I know the answer is w=4.\r
\n" ); document.write( "\n" ); document.write( "16. 12/x^2-16-3=24/x-4 The answers are -6 and -2.\r
\n" ); document.write( "\n" ); document.write( "Please, please tell me how to do these problems!! \n" ); document.write( "
Algebra.Com's Answer #58694 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
10. Solve for x:
\n" ); document.write( "\"x%2F%28x%5E2-3%29+=+5%2F%28x%2B4%29\" Multiply both sides by\"%28x%5E2-3%29%28x%2B4%29\"
\n" ); document.write( " Cancel as indicated and simplify.
\n" ); document.write( "\"x%28x%2B4%29+=+5%28x%5E2-3%29\"
\n" ); document.write( "\"x%5E2%2B4x+=+5x%5E2-15\" Subtract x^2 from both sides.
\n" ); document.write( "\"4x+=+4x%5E2-15\" Subtract 4x from both sides.
\n" ); document.write( "\"4x%5E2-4x-15+=+0\" Factor this quadratic equation.
\n" ); document.write( "\"%282x%2B3%29%282x-5%29+=+0\" Apply the zero products principle.
\n" ); document.write( "\"2x%2B3+=+0\" and/or \"2x-5+=+0\"
\n" ); document.write( "\"2x+=+-3\" so \"x+=+-3%2F2\"
\n" ); document.write( "\"2x+=+5\" so \"x+=+5%2F2\"
\n" ); document.write( "Solutions:
\n" ); document.write( "\"x+=+-3%2F2\"
\n" ); document.write( "\"x+=+5%2F2\"\r
\n" ); document.write( "\n" ); document.write( "14. Solve for w:
\n" ); document.write( "\"4w%2F%283w-2%29+%2B+2w%2F%283w%2B2%29+=+2\" Multiply both sides by\"%283w-2%29%283w%2B2%29\"
\n" ); document.write( " Simplify.
\n" ); document.write( "\"4w%283w%2B2%29+%2B+2w%283w-2%29+=+2%289w%5E2-4%29\"
\n" ); document.write( "\"%2812w%5E2%2B8w%29+%2B+%286w%5E2-4w%29+=+18w%5E2-8\"
\n" ); document.write( "\"%2818w%5E2%29%2B4w+=+%2818w%5E2%29-8\" Subtract\"18w%5E2\" from both sides.
\n" ); document.write( "\"4w+=+-8\" Divide both sides by 4.
\n" ); document.write( "\"w+=+-2\"\r
\n" ); document.write( "\n" ); document.write( "16. Solve for x:
\n" ); document.write( "\"12%2F%28x%5E2-16%29+-+3+=+24%2F%28x-4%29\"
\n" ); document.write( "\"%2812-3%28x%5E2-16%29%29%2F%28x%5E2-16%29+=+24%2F%28x-4%29\" Simplify.
\n" ); document.write( "\"%2812-3x%5E2-48%29%2F%28x%2B4%29%28x-4%29+=+24%28x%2B4%29%2F%28x-4%29%28x%2B4%29\"
\n" ); document.write( "\"12-3x%5E2-48+=+24x%2B96\"
\n" ); document.write( "\"3x%5E3%2B24x%2B36+=+0\" Simplify by factoring out a 3.
\n" ); document.write( "\"x%5E2%2B8x%2B12+=+0\" Factor this quadratic equation.
\n" ); document.write( "\"%28x%2B2%29%28x%2B6%29+=+0\" Apply the zero products principle.
\n" ); document.write( "\"x%2B2+=+0\" and/or\"x%2B6+=+0\"
\n" ); document.write( "Solutions:
\n" ); document.write( "\"x+=+-2\"
\n" ); document.write( "\"x+=+-6\"
\n" ); document.write( " \n" ); document.write( "
\n" );