3T^2+2T=0

Solution for 3T^2+2T=0 equation:

Simplifying
3T2 + 2T = 0

Reorder the terms:
2T + 3T2 = 0

Solving
2T + 3T2 = 0

Solving for variable 'T'.

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}