2t(3t-2)=0

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

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

Reorder the terms:
2t(-2 + 3t) = 0
(-2 * 2t + 3t * 2t) = 0
(-4t + 6t2) = 0

Solving
-4t + 6t2 = 0

Solving for variable 't'.

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

Ignore the factor 2.
Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
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
Solution
t = {0, 0.6666666667}