(8a-2)(8a+2)=0

Solution for (8a-2)(8a+2)=0 equation:

Simplifying
(8a + -2)(8a + 2) = 0

Reorder the terms:
(-2 + 8a)(8a + 2) = 0

Reorder the terms:
(-2 + 8a)(2 + 8a) = 0

Multiply (-2 + 8a) * (2 + 8a)
(-2(2 + 8a) + 8a * (2 + 8a)) = 0
((2 * -2 + 8a * -2) + 8a * (2 + 8a)) = 0
((-4 + -16a) + 8a * (2 + 8a)) = 0
(-4 + -16a + (2 * 8a + 8a * 8a)) = 0
(-4 + -16a + (16a + 64a2)) = 0

Combine like terms: -16a + 16a = 0
(-4 + 0 + 64a2) = 0
(-4 + 64a2) = 0

Solving
-4 + 64a2 = 0

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 4 + 64a2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 64a2 = 0 + 4
64a2 = 0 + 4

Combine like terms: 0 + 4 = 4
64a2 = 4

Divide each side by '64'.
a2 = 0.0625

Simplifying
a2 = 0.0625

Take the square root of each side:
a = {-0.25, 0.25}