## Introductory Algebra for College Students (7th Edition)

We see that the equation is false because there is a negative sign missing. In order to make the statement true, we add a negative sign to create the following statement: If $ax + b = 0$, then $x = -\frac{b}{a}$.
If we want to solve for $x$, then we want to isolate $x$. We first subtract $b$ from both sides: $$ax = -b$$ We then divide each side by $a$ to get $x$ by itself: $$x = -\frac{b}{a}$$ We see that the equation is false because there is a negative sign missing. In order to make the statement true, we add a negative sign to create the following statement: If $ax + b = 0$, then $x = -\frac{b}{a}$.