Exercise 52 Page 41

We see that Rachel solves the equation correctly since she follows the correct steps. She starts by writing all terms on the left-hand side of the equation. She applies the Zero Product Property after factoring.

However, Hernando did not find the correct answer. He did not divide both sides of the equation by the same expression.

Moreover, dividing both sides by the variable m causes the elimination of a solution to the equation. As a result, only Rachel's solution is correct.