(5t-2)(5t+2)=

Solution for (5t-2)(5t+2)= equation:

Simplifying
(5t + -2)(5t + 2) = 0

Reorder the terms:
(-2 + 5t)(5t + 2) = 0

Reorder the terms:
(-2 + 5t)(2 + 5t) = 0

Multiply (-2 + 5t) * (2 + 5t)
(-2(2 + 5t) + 5t * (2 + 5t)) = 0
((2 * -2 + 5t * -2) + 5t * (2 + 5t)) = 0
((-4 + -10t) + 5t * (2 + 5t)) = 0
(-4 + -10t + (2 * 5t + 5t * 5t)) = 0
(-4 + -10t + (10t + 25t2)) = 0

Combine like terms: -10t + 10t = 0
(-4 + 0 + 25t2) = 0
(-4 + 25t2) = 0

Solving
-4 + 25t2 = 0

Solving for variable 't'.

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

Add '4' to each side of the equation.
-4 + 4 + 25t2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 25t2 = 0 + 4
25t2 = 0 + 4

Combine like terms: 0 + 4 = 4
25t2 = 4

Divide each side by '25'.
t2 = 0.16

Simplifying
t2 = 0.16

Take the square root of each side:
t = {-0.4, 0.4}