(5t-6)(5t+6)=

Solution for (5t-6)(5t+6)= equation:

Simplifying
(5t + -6)(5t + 6) = 0

Reorder the terms:
(-6 + 5t)(5t + 6) = 0

Reorder the terms:
(-6 + 5t)(6 + 5t) = 0

Multiply (-6 + 5t) * (6 + 5t)
(-6(6 + 5t) + 5t * (6 + 5t)) = 0
((6 * -6 + 5t * -6) + 5t * (6 + 5t)) = 0
((-36 + -30t) + 5t * (6 + 5t)) = 0
(-36 + -30t + (6 * 5t + 5t * 5t)) = 0
(-36 + -30t + (30t + 25t2)) = 0

Combine like terms: -30t + 30t = 0
(-36 + 0 + 25t2) = 0
(-36 + 25t2) = 0

Solving
-36 + 25t2 = 0

Solving for variable 't'.

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

Add '36' to each side of the equation.
-36 + 36 + 25t2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 25t2 = 0 + 36
25t2 = 0 + 36

Combine like terms: 0 + 36 = 36
25t2 = 36

Divide each side by '25'.
t2 = 1.44

Simplifying
t2 = 1.44

Take the square root of each side:
t = {-1.2, 1.2}