### Home > INT2 > Chapter 5 > Lesson 5.2.4 > Problem5-101

5-101.

While solving $(x − 5)(x + 2) = −6$, Kyle decides that $x$ must equal $5$ or $–2$. “Not so fast!” exclaims Stanton. “The product does not equal zero. We need to change the equation first.”

1. What is Stanton talking about?

The Zero Product Property only works when a product equals zero.

2. How can the equation be rewritten? Use your algebraic tools to rewrite the equation so that it can be solved.

Rewrite the equation to make the product equal zero.

3. Solve the resulting equation from part (b) for $x$. Do your solutions match Kyle’s?

no