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Solving Quadratic Equations by Factoring - Problem 15

Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

Technically, we're allowed to do anything to an equation as long as we do it to both sides of an equation. This includes dividing: we could divide by a number (or constant) or even divide by a variable, BUT... in dividing by a variable, though it is technically mathematically correct, we would lose a solution to a quadratic equation. As shown here, the best method is always to set the equation equal to zero, factor, and then solve using the zero product property rather than divide by a variable.

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