Solving Equations Using the Zero Product Property and Reasoning

8.4.4 Solving Equations Using the Zero Product Property and Reasoning

8.4.4 • Solving Equations Using the Zero Product Property and Reasoning

Find all solutions to $(x + 5) (2 x - 3) = 0$ . Explain or show your reasoning.

Compare your answer:

$x = - 5$ and $x = \frac{3}{2}$

By the zero product property, either $x + 5 = 0$ or $2 x - 3 = 0$ , so $x = - 5$ and $x = \frac{3}{2}$ .