(8a+4)(8a-4)=0

Solution for (8a+4)(8a-4)=0 equation:

Simplifying
(8a + 4)(8a + -4) = 0

Reorder the terms:
(4 + 8a)(8a + -4) = 0

Reorder the terms:
(4 + 8a)(-4 + 8a) = 0

Multiply (4 + 8a) * (-4 + 8a)
(4(-4 + 8a) + 8a * (-4 + 8a)) = 0
((-4 * 4 + 8a * 4) + 8a * (-4 + 8a)) = 0
((-16 + 32a) + 8a * (-4 + 8a)) = 0
(-16 + 32a + (-4 * 8a + 8a * 8a)) = 0
(-16 + 32a + (-32a + 64a2)) = 0

Combine like terms: 32a + -32a = 0
(-16 + 0 + 64a2) = 0
(-16 + 64a2) = 0

Solving
-16 + 64a2 = 0

Solving for variable 'a'.

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

Add '16' to each side of the equation.
-16 + 16 + 64a2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 64a2 = 0 + 16
64a2 = 0 + 16

Combine like terms: 0 + 16 = 16
64a2 = 16

Divide each side by '64'.
a2 = 0.25

Simplifying
a2 = 0.25

Take the square root of each side:
a = {-0.5, 0.5}