## Intermediate Algebra (6th Edition)

Published by Pearson

# Chapter 5 - Section 5.8 - Solving Equations by Factoring and Problem Solving - Exercise Set: 46

no solution

#### Work Step by Step

The given expression, $3c^2-8c+2=c(3c-8)$, simplifies to \begin{array}{} 3c^2-8c+2=3c^2-8c \\\\ (3c^2-3c^2)+(-8c+8c)+2=0 \\\\ 2=0 \text{ (FALSE)} .\end{array} Since the solution above ended with a FALSE statement, then there is no solution since there is no value of the variable that will make the left side of the original equation equal to the right side.

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