(3-8z)(3+8z)=0

Solution for (3-8z)(3+8z)=0 equation:

Simplifying
(3 + -8z)(3 + 8z) = 0

Multiply (3 + -8z) * (3 + 8z)
(3(3 + 8z) + -8z * (3 + 8z)) = 0
((3 * 3 + 8z * 3) + -8z * (3 + 8z)) = 0
((9 + 24z) + -8z * (3 + 8z)) = 0
(9 + 24z + (3 * -8z + 8z * -8z)) = 0
(9 + 24z + (-24z + -64z2)) = 0

Combine like terms: 24z + -24z = 0
(9 + 0 + -64z2) = 0
(9 + -64z2) = 0

Solving
9 + -64z2 = 0

Solving for variable 'z'.

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

Add '-9' to each side of the equation.
9 + -9 + -64z2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -64z2 = 0 + -9
-64z2 = 0 + -9

Combine like terms: 0 + -9 = -9
-64z2 = -9

Divide each side by '-64'.
z2 = 0.140625

Simplifying
z2 = 0.140625

Take the square root of each side:
z = {-0.375, 0.375}