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

Solution for (3t+2)(2t-2)=0 equation:

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

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

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

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

Combine like terms: 4t + -6t = -2t
(-4 + -2t + 6t2) = 0

Solving
-4 + -2t + 6t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -1t + 3t2) = 0

Factor a trinomial.
2((-2 + -3t)(1 + -1t)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-2 + -3t)' equal to zero and attempt to solve:

Simplifying
-2 + -3t = 0

Solving
-2 + -3t = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3t = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3t = 0 + 2
-3t = 0 + 2

Combine like terms: 0 + 2 = 2
-3t = 2

Divide each side by '-3'.
t = -0.6666666667

Simplifying
t = -0.6666666667
Subproblem 2
Set the factor '(1 + -1t)' equal to zero and attempt to solve:

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1t = 0 + -1
-1t = 0 + -1

Combine like terms: 0 + -1 = -1
-1t = -1

Divide each side by '-1'.
t = 1

Simplifying
t = 1
Solution
t = {-0.6666666667, 1}