(8t-6)(8t+6)=

Solution for (8t-6)(8t+6)= equation:

Simplifying
(8t + -6)(8t + 6) = 0

Reorder the terms:
(-6 + 8t)(8t + 6) = 0

Reorder the terms:
(-6 + 8t)(6 + 8t) = 0

Multiply (-6 + 8t) * (6 + 8t)
(-6(6 + 8t) + 8t * (6 + 8t)) = 0
((6 * -6 + 8t * -6) + 8t * (6 + 8t)) = 0
((-36 + -48t) + 8t * (6 + 8t)) = 0
(-36 + -48t + (6 * 8t + 8t * 8t)) = 0
(-36 + -48t + (48t + 64t2)) = 0

Combine like terms: -48t + 48t = 0
(-36 + 0 + 64t2) = 0
(-36 + 64t2) = 0

Solving
-36 + 64t2 = 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 + 64t2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 64t2 = 0 + 36
64t2 = 0 + 36

Combine like terms: 0 + 36 = 36
64t2 = 36

Divide each side by '64'.
t2 = 0.5625

Simplifying
t2 = 0.5625

Take the square root of each side:
t = {-0.75, 0.75}