(2-4d)(2+4d)=0

Solution for (2-4d)(2+4d)=0 equation:

Simplifying
(2 + -4d)(2 + 4d) = 0

Multiply (2 + -4d) * (2 + 4d)
(2(2 + 4d) + -4d * (2 + 4d)) = 0
((2 * 2 + 4d * 2) + -4d * (2 + 4d)) = 0
((4 + 8d) + -4d * (2 + 4d)) = 0
(4 + 8d + (2 * -4d + 4d * -4d)) = 0
(4 + 8d + (-8d + -16d2)) = 0

Combine like terms: 8d + -8d = 0
(4 + 0 + -16d2) = 0
(4 + -16d2) = 0

Solving
4 + -16d2 = 0

Solving for variable 'd'.

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

Add '-4' to each side of the equation.
4 + -4 + -16d2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -16d2 = 0 + -4
-16d2 = 0 + -4

Combine like terms: 0 + -4 = -4
-16d2 = -4

Divide each side by '-16'.
d2 = 0.25

Simplifying
d2 = 0.25

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