## Intermediate Algebra (6th Edition)

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.