(3t-1)(3t+1)=

Solution for (3t-1)(3t+1)= equation:

Simplifying
(3t + -1)(3t + 1) = 0

Reorder the terms:
(-1 + 3t)(3t + 1) = 0

Reorder the terms:
(-1 + 3t)(1 + 3t) = 0

Multiply (-1 + 3t) * (1 + 3t)
(-1(1 + 3t) + 3t * (1 + 3t)) = 0
((1 * -1 + 3t * -1) + 3t * (1 + 3t)) = 0
((-1 + -3t) + 3t * (1 + 3t)) = 0
(-1 + -3t + (1 * 3t + 3t * 3t)) = 0
(-1 + -3t + (3t + 9t2)) = 0

Combine like terms: -3t + 3t = 0
(-1 + 0 + 9t2) = 0
(-1 + 9t2) = 0

Solving
-1 + 9t2 = 0

Solving for variable 't'.

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

Add '1' to each side of the equation.
-1 + 1 + 9t2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 9t2 = 0 + 1
9t2 = 0 + 1

Combine like terms: 0 + 1 = 1
9t2 = 1

Divide each side by '9'.
t2 = 0.1111111111

Simplifying
t2 = 0.1111111111

Take the square root of each side:
t = {-0.333333333, 0.333333333}