(a-0.25)(a+0.25)=0

Solution for (a-0.25)(a+0.25)=0 equation:

Simplifying
(a + -0.25)(a + 0.25) = 0

Reorder the terms:
(-0.25 + a)(a + 0.25) = 0

Reorder the terms:
(-0.25 + a)(0.25 + a) = 0

Multiply (-0.25 + a) * (0.25 + a)
(-0.25(0.25 + a) + a(0.25 + a)) = 0
((0.25 * -0.25 + a * -0.25) + a(0.25 + a)) = 0
((-0.0625 + -0.25a) + a(0.25 + a)) = 0
(-0.0625 + -0.25a + (0.25 * a + a * a)) = 0
(-0.0625 + -0.25a + (0.25a + a2)) = 0

Combine like terms: -0.25a + 0.25a = 0.00
(-0.0625 + 0.00 + a2) = 0
(-0.0625 + a2) = 0

Solving
-0.0625 + a2 = 0

Solving for variable 'a'.

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

Add '0.0625' to each side of the equation.
-0.0625 + 0.0625 + a2 = 0 + 0.0625

Combine like terms: -0.0625 + 0.0625 = 0.0000
0.0000 + a2 = 0 + 0.0625
a2 = 0 + 0.0625

Combine like terms: 0 + 0.0625 = 0.0625
a2 = 0.0625

Simplifying
a2 = 0.0625

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