(4x+0.25)(4x-0.25)=0

Solution for (4x+0.25)(4x-0.25)=0 equation:

Simplifying
(4x + 0.25)(4x + -0.25) = 0

Reorder the terms:
(0.25 + 4x)(4x + -0.25) = 0

Reorder the terms:
(0.25 + 4x)(-0.25 + 4x) = 0

Multiply (0.25 + 4x) * (-0.25 + 4x)
(0.25(-0.25 + 4x) + 4x * (-0.25 + 4x)) = 0
((-0.25 * 0.25 + 4x * 0.25) + 4x * (-0.25 + 4x)) = 0
((-0.0625 + 1x) + 4x * (-0.25 + 4x)) = 0
(-0.0625 + 1x + (-0.25 * 4x + 4x * 4x)) = 0
(-0.0625 + 1x + (-1x + 16x2)) = 0

Combine like terms: 1x + -1x = 0
(-0.0625 + 0 + 16x2) = 0
(-0.0625 + 16x2) = 0

Solving
-0.0625 + 16x2 = 0

Solving for variable 'x'.

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

Add '0.0625' to each side of the equation.
-0.0625 + 0.0625 + 16x2 = 0 + 0.0625

Combine like terms: -0.0625 + 0.0625 = 0.0000
0.0000 + 16x2 = 0 + 0.0625
16x2 = 0 + 0.0625

Combine like terms: 0 + 0.0625 = 0.0625
16x2 = 0.0625

Divide each side by '16'.
x2 = 0.00390625

Simplifying
x2 = 0.00390625

Take the square root of each side:
x = {-0.0625, 0.0625}