(2t+8)(2t-8)=0

Solution for (2t+8)(2t-8)=0 equation:

Simplifying
(2t + 8)(2t + -8) = 0

Reorder the terms:
(8 + 2t)(2t + -8) = 0

Reorder the terms:
(8 + 2t)(-8 + 2t) = 0

Multiply (8 + 2t) * (-8 + 2t)
(8(-8 + 2t) + 2t * (-8 + 2t)) = 0
((-8 * 8 + 2t * 8) + 2t * (-8 + 2t)) = 0
((-64 + 16t) + 2t * (-8 + 2t)) = 0
(-64 + 16t + (-8 * 2t + 2t * 2t)) = 0
(-64 + 16t + (-16t + 4t2)) = 0

Combine like terms: 16t + -16t = 0
(-64 + 0 + 4t2) = 0
(-64 + 4t2) = 0

Solving
-64 + 4t2 = 0

Solving for variable 't'.

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

Add '64' to each side of the equation.
-64 + 64 + 4t2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 4t2 = 0 + 64
4t2 = 0 + 64

Combine like terms: 0 + 64 = 64
4t2 = 64

Divide each side by '4'.
t2 = 16

Simplifying
t2 = 16

Take the square root of each side:
t = {-4, 4}