9(z^2)-16=0

Solution for 9(z^2)-16=0 equation:

Simplifying
9(z2) + -16 = 0

Reorder the terms:
-16 + 9z2 = 0

Solving
-16 + 9z2 = 0

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '16' to each side of the equation.
-16 + 16 + 9z2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 9z2 = 0 + 16
9z2 = 0 + 16

Combine like terms: 0 + 16 = 16
9z2 = 16

Divide each side by '9'.
z2 = 1.777777778

Simplifying
z2 = 1.777777778

Take the square root of each side:
z = {-1.333333333, 1.333333333}