(9z+2)(9z-2)=0

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

Simplifying
(9z + 2)(9z + -2) = 0

Reorder the terms:
(2 + 9z)(9z + -2) = 0

Reorder the terms:
(2 + 9z)(-2 + 9z) = 0

Multiply (2 + 9z) * (-2 + 9z)
(2(-2 + 9z) + 9z * (-2 + 9z)) = 0
((-2 * 2 + 9z * 2) + 9z * (-2 + 9z)) = 0
((-4 + 18z) + 9z * (-2 + 9z)) = 0
(-4 + 18z + (-2 * 9z + 9z * 9z)) = 0
(-4 + 18z + (-18z + 81z2)) = 0

Combine like terms: 18z + -18z = 0
(-4 + 0 + 81z2) = 0
(-4 + 81z2) = 0

Solving
-4 + 81z2 = 0

Solving for variable 'z'.

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

Add '4' to each side of the equation.
-4 + 4 + 81z2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 81z2 = 0 + 4
81z2 = 0 + 4

Combine like terms: 0 + 4 = 4
81z2 = 4

Divide each side by '81'.
z2 = 0.04938271605

Simplifying
z2 = 0.04938271605

Take the square root of each side:
z = {-0.222222222, 0.222222222}