Answer
No solution.
Work Step by Step
1.2$z^{2}$ - 7 = -34
Add 7 to both sides.
1.2$z^{2}$ - 7 + 7 = -34 + 7
1.2$z^{2}$ = -27
Divide both sides by 1.2:
1.2$z^{2}$ = -27
$\frac{1.2z^{2}}{1.2}$ = $\frac{-27}{1.2}$
$z^{2}$ = -22.5
Normally, we would now take the square root of $z^{2}$ and -22.5. We cannot take the square root of a negative number, however, so there is no solution to this equation.