(6t+4)(6t-4)=0

Solution for (6t+4)(6t-4)=0 equation:

Simplifying
(6t + 4)(6t + -4) = 0

Reorder the terms:
(4 + 6t)(6t + -4) = 0

Reorder the terms:
(4 + 6t)(-4 + 6t) = 0

Multiply (4 + 6t) * (-4 + 6t)
(4(-4 + 6t) + 6t * (-4 + 6t)) = 0
((-4 * 4 + 6t * 4) + 6t * (-4 + 6t)) = 0
((-16 + 24t) + 6t * (-4 + 6t)) = 0
(-16 + 24t + (-4 * 6t + 6t * 6t)) = 0
(-16 + 24t + (-24t + 36t2)) = 0

Combine like terms: 24t + -24t = 0
(-16 + 0 + 36t2) = 0
(-16 + 36t2) = 0

Solving
-16 + 36t2 = 0

Solving for variable 't'.

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

Add '16' to each side of the equation.
-16 + 16 + 36t2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 36t2 = 0 + 16
36t2 = 0 + 16

Combine like terms: 0 + 16 = 16
36t2 = 16

Divide each side by '36'.
t2 = 0.4444444444

Simplifying
t2 = 0.4444444444

Take the square root of each side:
t = {-0.666666667, 0.666666667}