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Rational Expressions
Example 9

Example 9: Rational Equation Setup

Step-by-step worked example for this lesson track.

Problem

Solve x+38=0\text{Solve }\frac{x+3}{8}=0

1. Recognize Pattern

x+pq=r⇒x=qr−p\frac{x+p}{q}=r\Rightarrow x=qr-p

2. Apply Method

x−68=−1⇒x=−2\frac{x-6}{8}=-1\Rightarrow x=-2

3. Conclude

x=8(0)−3=−3x=8(0)-3=-3

Final answer

x=8(0)−3=−3x=8(0)-3=-3
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