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Chapter 8: Q. 334 (page 982)

In the following exercises, solve

c+312c+c36=14c

Short Answer

Expert verified

The solution of the equation isc=0,-3

Step by step solution

01

Step 1. Given Information

A rational equation isc+312c+c36=14c

02

Step 2. Removing the fraction

The least common denominator is 36c

Multiply the equation by LCD,

36c×c+312c+c36=14c×36c3(c+3)+(c×c)=93c+9+c2=93c+c2=0c(3+c)=0

03

Step 3. Solution of the equation

Using the zero product property,

c=0,3+c=0c=0,c=-3

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