document.write( "Question 643834: hello,
\n" ); document.write( "I am having trouble finiding the lcd for this equation. Id appreciate the help on this problem but also tips on how to find it in problems like this.
\n" ); document.write( "thank you, carla\r
\n" ); document.write( "\n" ); document.write( "x/(2x+2)=-2x/(4x+4)+(2x-3)/(x-4)\r
\n" ); document.write( "\n" ); document.write( "so far i know i have to get the lcd for 2x+2,4x+4 and x-4 but since there was that -4 im at a loss, thank you \n" ); document.write( "
Algebra.Com's Answer #404647 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
x/(2x+2)=-2x/(4x+4)+(2x-3)/(x-4)
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\n" ); document.write( "Factor:
\n" ); document.write( "x/(2(x+1)) = -2x/(4(x+1) + (2x-3)/(x-4)
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\n" ); document.write( "Multiply thru by lcm = 4(x+1)(x-4)
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\n" ); document.write( "2x(x-4) = (-2x)(x-4) + (2x-3)(4(x+1))
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\n" ); document.write( "2x^2-8x = -2x^2+8x + 4(2x^2-x-3)
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\n" ); document.write( "4x^2-16x = 8x^2-4x - 12
\n" ); document.write( "4x^2 + 12x -12 = 0
\n" ); document.write( "x^2 + 3x - 3 = 0
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\n" ); document.write( "x = [-3 +- sqrt(9+12)]/2
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\n" ); document.write( "x = [-3+sqrt(21)]/2 or x = [-3-sqrt(21)]/2
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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