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)