3t^2-3t=2t

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

Simplifying
3t2 + -3t = 2t

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

Solving
-3t + 3t2 = 2t

Solving for variable 't'.

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

Combine like terms: -3t + -2t = -5t
-5t + 3t2 = 2t + -2t

Combine like terms: 2t + -2t = 0
-5t + 3t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-5 + 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 '(-5 + 3t)' equal to zero and attempt to solve:

Simplifying
-5 + 3t = 0

Solving
-5 + 3t = 0

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

Add '5' to each side of the equation.
-5 + 5 + 3t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3t = 0 + 5
3t = 0 + 5

Combine like terms: 0 + 5 = 5
3t = 5

Divide each side by '3'.
t = 1.666666667

Simplifying
t = 1.666666667
Solution
t = {0, 1.666666667}