Answer
no solution
Work Step by Step
The given expression, $
2z(z+6)=2z^2+12z-8
$, simplifies to
\begin{array}{}
2z^2+12z=2z^2+12z-8
\\\\
(2z^2-2z^2)+(12z-12z)=-8
\\\\
0=-8
\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.
