(4t-5)(4t+5)=

Solution for (4t-5)(4t+5)= equation:

Simplifying
(4t + -5)(4t + 5) = 0

Reorder the terms:
(-5 + 4t)(4t + 5) = 0

Reorder the terms:
(-5 + 4t)(5 + 4t) = 0

Multiply (-5 + 4t) * (5 + 4t)
(-5(5 + 4t) + 4t * (5 + 4t)) = 0
((5 * -5 + 4t * -5) + 4t * (5 + 4t)) = 0
((-25 + -20t) + 4t * (5 + 4t)) = 0
(-25 + -20t + (5 * 4t + 4t * 4t)) = 0
(-25 + -20t + (20t + 16t2)) = 0

Combine like terms: -20t + 20t = 0
(-25 + 0 + 16t2) = 0
(-25 + 16t2) = 0

Solving
-25 + 16t2 = 0

Solving for variable 't'.

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

Add '25' to each side of the equation.
-25 + 25 + 16t2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 16t2 = 0 + 25
16t2 = 0 + 25

Combine like terms: 0 + 25 = 25
16t2 = 25

Divide each side by '16'.
t2 = 1.5625

Simplifying
t2 = 1.5625

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