document.write( "Question 78391: To solve the rational equation below, which step would result?
\n" ); document.write( "3/x+1/2= 8/(x+2)\r
\n" ); document.write( "\n" ); document.write( "I got: 3(x+2) + .5 = 8X\r
\n" ); document.write( "\n" ); document.write( "Is this correct?
\n" ); document.write( "Thanks~
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #56214 by dolly(163)\"\" \"About 
You can put this solution on YOUR website!
3/x + 1/2 = 8/(x+2)
\n" ); document.write( "On multiplying by the LCD this would result in,\r
\n" ); document.write( "\n" ); document.write( "3(x+2) + 0.5 x(x+2) = 8x\r
\n" ); document.write( "\n" ); document.write( "==> 3x + 6 + 0.5x^2 + x = 8x\r
\n" ); document.write( "\n" ); document.write( "==> 0.5x^2 + 4x + 6 = 8x
\n" ); document.write( "Adding - 8x to both the sides,\r
\n" ); document.write( "\n" ); document.write( "==> 0.5x^2 -4x + 6 = 0
\n" ); document.write( "==> 5x^2 - 40x + 60 = 0 [multiplying by 10]\r
\n" ); document.write( "\n" ); document.write( "==> x^2 - 8x + 12 = 0 [dividing by 5]
\n" ); document.write( "==> x^2 - 6x - 2x + 12 = 0
\n" ); document.write( "==> x(x-6) - 2(x-6) = 0
\n" ); document.write( "==> (x-6)(x-2) = 0
\n" ); document.write( "==> x-6 = 0 or x-2= 0
\n" ); document.write( "==> x = 6 or x= 2\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "
\n" );