document.write( "Question 552386: In solving the equation (x + 4)(x – 7) = -24, Eric stated that the solution would be
\n" ); document.write( "x + 4 = -24 => x = -28
\n" ); document.write( "or
\n" ); document.write( "(x – 7) = -24 => x = -17
\n" ); document.write( "However, at least one of these solutions fails to work when substituted back into the original equation. Why is that? Please help Eric to understand better; solve the problem yourself, and explain your reasoning.
\n" ); document.write( "

Algebra.Com's Answer #360234 by richard1234(7193)\"\" \"About 
You can put this solution on YOUR website!
Used \"zero-property rule\" incorrectly.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x^2 - 3x - 28 = -24\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x^2 - 3x - 4 = 0\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(x+1)(x-4) = 0\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now we use the zero-property rule.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = -1 or x = 4
\n" ); document.write( "
\n" );