algebra

1. In solving the equation (x + 3)(x + 1) = 48, Eric stated that the solution would be
x + 3 = 48 => x = 45
or
(x + 1) = 48 => x = 47
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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  1. Nuts to Eric's method. What principle of math is he using.

    we can use the zero principle when
    ab=0, meaning a=0 or b=0,or both =0

    There is no principle which allows us to
    ab=c then say either a=c or b=c

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