0=3t^2-2t

Solution for 0=3t^2-2t equation:

Simplifying
0 = 3t2 + -2t

Reorder the terms:
0 = -2t + 3t2

Solving
0 = -2t + 3t2

Solving for variable 't'.
Remove the zero:
2t + -3t2 = -2t + 3t2 + 2t + -3t2

Reorder the terms:
2t + -3t2 = -2t + 2t + 3t2 + -3t2

Combine like terms: -2t + 2t = 0
2t + -3t2 = 0 + 3t2 + -3t2
2t + -3t2 = 3t2 + -3t2

Combine like terms: 3t2 + -3t2 = 0
2t + -3t2 = 0

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

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}