document.write( "Question 1207383: The equation 5/(x + 3) + 3 = (8 + x)/(x + 3) has no solution, yet when we go through the process of solving it we obtain x = -3. Why is that the case? \n" ); document.write( "
Algebra.Com's Answer #852187 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "The value  x = -3  is  PROXIBITED  for this equation,
\n" ); document.write( "since the fractions in both sides of this equations are not defined at  x = -3.\r
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\n" ); document.write( "\n" ); document.write( "As people say in  Math,  the value  x = -3  is not in the domain of this equation,
\n" ); document.write( "while we are looking for the solutions that  ARE  in the domain.\r
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\n" ); document.write( "\n" ); document.write( "When we get the solution  x = -3,  we get it for  ANOTHER,  transformed equation,\r
\n" ); document.write( "\n" ); document.write( "and this value does not work for the original equation.\r
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\n" ); document.write( "\n" ); document.write( "The original equation and the transformed equation are NOT equivalent.\r
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\n" ); document.write( "\n" ); document.write( "This is a complete explanation, in few words.   Full and complete.\r
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