(4t+10)(-4t+10)=0

Solution for (4t+10)(-4t+10)=0 equation:

Simplifying
(4t + 10)(-4t + 10) = 0

Reorder the terms:
(10 + 4t)(-4t + 10) = 0

Reorder the terms:
(10 + 4t)(10 + -4t) = 0

Multiply (10 + 4t) * (10 + -4t)
(10(10 + -4t) + 4t * (10 + -4t)) = 0
((10 * 10 + -4t * 10) + 4t * (10 + -4t)) = 0
((100 + -40t) + 4t * (10 + -4t)) = 0
(100 + -40t + (10 * 4t + -4t * 4t)) = 0
(100 + -40t + (40t + -16t2)) = 0

Combine like terms: -40t + 40t = 0
(100 + 0 + -16t2) = 0
(100 + -16t2) = 0

Solving
100 + -16t2 = 0

Solving for variable 't'.

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

Add '-100' to each side of the equation.
100 + -100 + -16t2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -16t2 = 0 + -100
-16t2 = 0 + -100

Combine like terms: 0 + -100 = -100
-16t2 = -100

Divide each side by '-16'.
t2 = 6.25

Simplifying
t2 = 6.25

Take the square root of each side:
t = {-2.5, 2.5}