document.write( "Question 1182089: Please help with the homework.Solve the following using quadratic equation
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Algebra.Com's Answer #812044 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Please help with the homework. Solve the following using quadratic equation
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document.write( "The left side is (trace my transformations)\r\n" );
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document.write( "      (x+1)*(x-2) + (x+2)(x+1) = take the common factor (x+1) out the parenteses = \r\n" );
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document.write( "    = (x+1)*(x-2 + x+2) = (x+1)*(2x).\r\n" );
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document.write( "So, the equation takes the form\r\n" );
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document.write( "    2x*(x+1) = 2*(3x-1)\r\n" );
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document.write( "Cancel common factor 2 in both sides\r\n" );
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document.write( "    x*(x+1) = 3x-1\r\n" );
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document.write( "Simplify\r\n" );
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document.write( "    x^2 + x = 3x -1\r\n" );
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document.write( "    x^2 - 2x + 1 = 0\r\n" );
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document.write( "    (x-1)^2 = 0\r\n" );
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document.write( "The only solution is  x= 1.\r\n" );
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document.write( "ANSWER.  The given equation has a unique solution x= 1.\r\n" );
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