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), '-1t'.
-1t(2 + 3t) = 0

Ignore the factor -1.
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}