# How do you solve 2z^2 - 16z - 1768 = 0 by completing the square?

${z}^{2} - 2 \cdot z \cdot 4 + {4}^{2} - 16 - 884 = 0$
$\implies {\left(z - 4\right)}^{2} = 900 = {30}^{2}$
$: . z = 4 + 30 = 34 \mathmr{and} z = - 30 + 4 = - 26$