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

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

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

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

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

Multiply (-4 + 8t) * (4 + 8t)
(-4(4 + 8t) + 8t * (4 + 8t)) = 0
((4 * -4 + 8t * -4) + 8t * (4 + 8t)) = 0
((-16 + -32t) + 8t * (4 + 8t)) = 0
(-16 + -32t + (4 * 8t + 8t * 8t)) = 0
(-16 + -32t + (32t + 64t2)) = 0

Combine like terms: -32t + 32t = 0
(-16 + 0 + 64t2) = 0
(-16 + 64t2) = 0

Solving
-16 + 64t2 = 0

Solving for variable 't'.

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

Add '16' to each side of the equation.
-16 + 16 + 64t2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 64t2 = 0 + 16
64t2 = 0 + 16

Combine like terms: 0 + 16 = 16
64t2 = 16

Divide each side by '64'.
t2 = 0.25

Simplifying
t2 = 0.25

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