16z^2-36=0

Solution for 16z^2-36=0 equation:

Simplifying
16z2 + -36 = 0

Reorder the terms:
-36 + 16z2 = 0

Solving
-36 + 16z2 = 0

Solving for variable 'z'.

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

Add '36' to each side of the equation.
-36 + 36 + 16z2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 16z2 = 0 + 36
16z2 = 0 + 36

Combine like terms: 0 + 36 = 36
16z2 = 36

Divide each side by '16'.
z2 = 2.25

Simplifying
z2 = 2.25

Take the square root of each side:
z = {-1.5, 1.5}