document.write( "Question 387723: In solving the equation (x  1)(x  2) = 30, Eric stated that the solution would be
\n" ); document.write( "x  1 = 30 => x = 31
\n" ); document.write( "or
\n" ); document.write( "x  2) = 30 => x = 32
\n" ); document.write( "(x-2)(x-1)=30,x^2-2x-x+2=30,x^2-3x+2-30=0since x^2-3x-28=0 by factorization x^2+4x-7x-30=0,x(x+4)-7(x+4)=0 thrfr (x-7)(x+4)=0hence x=7
\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.
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Algebra.Com's Answer #274164 by irshad_ahmed0@yahoo.com(7)\"\" \"About 
You can put this solution on YOUR website!
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