(2t-2.5)(2t+2.5)=0

Solution for (2t-2.5)(2t+2.5)=0 equation:

Simplifying
(2t + -2.5)(2t + 2.5) = 0

Reorder the terms:
(-2.5 + 2t)(2t + 2.5) = 0

Reorder the terms:
(-2.5 + 2t)(2.5 + 2t) = 0

Multiply (-2.5 + 2t) * (2.5 + 2t)
(-2.5(2.5 + 2t) + 2t * (2.5 + 2t)) = 0
((2.5 * -2.5 + 2t * -2.5) + 2t * (2.5 + 2t)) = 0
((-6.25 + -5t) + 2t * (2.5 + 2t)) = 0
(-6.25 + -5t + (2.5 * 2t + 2t * 2t)) = 0
(-6.25 + -5t + (5t + 4t2)) = 0

Combine like terms: -5t + 5t = 0
(-6.25 + 0 + 4t2) = 0
(-6.25 + 4t2) = 0

Solving
-6.25 + 4t2 = 0

Solving for variable 't'.

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

Add '6.25' to each side of the equation.
-6.25 + 6.25 + 4t2 = 0 + 6.25

Combine like terms: -6.25 + 6.25 = 0.00
0.00 + 4t2 = 0 + 6.25
4t2 = 0 + 6.25

Combine like terms: 0 + 6.25 = 6.25
4t2 = 6.25

Divide each side by '4'.
t2 = 1.5625

Simplifying
t2 = 1.5625

Take the square root of each side:
t = {-1.25, 1.25}