Answer
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.
