document.write( "Question 860462: Solve the equation by using the LCD.
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document.write( "4/x +1=2x+2/x
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document.write( "(4 over x + 1 =2x+2 over x)\r
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document.write( "2x/x+2 -4=6/x
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document.write( "(2x over x+2 -4 =6 over x)\r
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document.write( "For some reason I can't figure these out. I've tried and they just aren't making sense to me \n" );
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Algebra.Com's Answer #518456 by stanbon(75887) ![]() You can put this solution on YOUR website! Solve the equation by using the LCD. \n" ); document.write( "4/(x+1) = (2x+2)x \n" ); document.write( "4/(x+1) = 2(x+1)/x \n" ); document.write( "-------------------------- \n" ); document.write( "LCD:: x(x+1) \n" ); document.write( "Multiply both sides by the LCD to get: \n" ); document.write( "4x = 2(x+1)^2 \n" ); document.write( "2x = (x+1)^2 \n" ); document.write( "x^2 + 2x +1 = 2x \n" ); document.write( "x^2 + 1 = 0 \n" ); document.write( "x is either +-i or there is no Real Number solution. \n" ); document.write( "------- \n" ); document.write( "2x/(x+2) -4 = 6/x \n" ); document.write( "------ \n" ); document.write( "Multiply thru by x(x+2) to get: \n" ); document.write( "2x^2 - 4x(x+2) = 6(x+2) \n" ); document.write( "2x^2 - 4x^2 - 8 = 6x + 12 \n" ); document.write( "-2x^2 - 6x -20 = 0 \n" ); document.write( "x^2 + 3x + 10 = 0 \n" ); document.write( "Use the Quadratic formula to solve for \"x\": \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "====================== \n" ); document.write( " |