(5t-8)(5t+8)=

Solution for (5t-8)(5t+8)= equation:

Simplifying
(5t + -8)(5t + 8) = 0

Reorder the terms:
(-8 + 5t)(5t + 8) = 0

Reorder the terms:
(-8 + 5t)(8 + 5t) = 0

Multiply (-8 + 5t) * (8 + 5t)
(-8(8 + 5t) + 5t * (8 + 5t)) = 0
((8 * -8 + 5t * -8) + 5t * (8 + 5t)) = 0
((-64 + -40t) + 5t * (8 + 5t)) = 0
(-64 + -40t + (8 * 5t + 5t * 5t)) = 0
(-64 + -40t + (40t + 25t2)) = 0

Combine like terms: -40t + 40t = 0
(-64 + 0 + 25t2) = 0
(-64 + 25t2) = 0

Solving
-64 + 25t2 = 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 + 25t2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 25t2 = 0 + 64
25t2 = 0 + 64

Combine like terms: 0 + 64 = 64
25t2 = 64

Divide each side by '25'.
t2 = 2.56

Simplifying
t2 = 2.56

Take the square root of each side:
t = {-1.6, 1.6}