College Algebra

Discovering Equations

Consider the equation (x - 1)(x + 2) = 5(x - 1).

First, solve this equation by dividing each side of the equation by x-1.

Second, solve the equation by first "FOIL"ing the left side, then simplifying by bring all terms to the left side of the equation, and then finally solve using factoring.

- Why are the solutions to these two methods different? (Hint: Remember you cannot divide by zero)

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