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

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

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

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

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

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

Combine like terms: -8a + 8a = 0
(-64 + 0 + a2) = 0
(-64 + a2) = 0

Solving
-64 + a2 = 0

Solving for variable 'a'.

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

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

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

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

Simplifying
a2 = 64

Take the square root of each side:
a = {-8, 8}