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

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

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

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

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

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

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

Solving
-64 + 36t2 = 0

Solving for variable 't'.

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

Add '64' to each side of the equation.
-64 + 64 + 36t2 = 0 + 64

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

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

Divide each side by '36'.
t2 = 1.777777778

Simplifying
t2 = 1.777777778

Take the square root of each side:
t = {-1.333333333, 1.333333333}