(3t-2)(3t+2)=

Solution for (3t-2)(3t+2)= equation:

Simplifying
(3t + -2)(3t + 2) = 0

Reorder the terms:
(-2 + 3t)(3t + 2) = 0

Reorder the terms:
(-2 + 3t)(2 + 3t) = 0

Multiply (-2 + 3t) * (2 + 3t)
(-2(2 + 3t) + 3t * (2 + 3t)) = 0
((2 * -2 + 3t * -2) + 3t * (2 + 3t)) = 0
((-4 + -6t) + 3t * (2 + 3t)) = 0
(-4 + -6t + (2 * 3t + 3t * 3t)) = 0
(-4 + -6t + (6t + 9t2)) = 0

Combine like terms: -6t + 6t = 0
(-4 + 0 + 9t2) = 0
(-4 + 9t2) = 0

Solving
-4 + 9t2 = 0

Solving for variable 't'.

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

Add '4' to each side of the equation.
-4 + 4 + 9t2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 9t2 = 0 + 4
9t2 = 0 + 4

Combine like terms: 0 + 4 = 4
9t2 = 4

Divide each side by '9'.
t2 = 0.4444444444

Simplifying
t2 = 0.4444444444

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