(3t-8)(3t+8)=0

Solution for (3t-8)(3t+8)=0 equation:

Simplifying
(3t + -8)(3t + 8) = 0

Reorder the terms:
(-8 + 3t)(3t + 8) = 0

Reorder the terms:
(-8 + 3t)(8 + 3t) = 0

Multiply (-8 + 3t) * (8 + 3t)
(-8(8 + 3t) + 3t * (8 + 3t)) = 0
((8 * -8 + 3t * -8) + 3t * (8 + 3t)) = 0
((-64 + -24t) + 3t * (8 + 3t)) = 0
(-64 + -24t + (8 * 3t + 3t * 3t)) = 0
(-64 + -24t + (24t + 9t2)) = 0

Combine like terms: -24t + 24t = 0
(-64 + 0 + 9t2) = 0
(-64 + 9t2) = 0

Solving
-64 + 9t2 = 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 + 9t2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 9t2 = 0 + 64
9t2 = 0 + 64

Combine like terms: 0 + 64 = 64
9t2 = 64

Divide each side by '9'.
t2 = 7.111111111

Simplifying
t2 = 7.111111111

Take the square root of each side:
t = {-2.666666667, 2.666666667}