3(3t^2-t)=0

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

Simplifying
3(3t2 + -1t) = 0

Reorder the terms:
3(-1t + 3t2) = 0
(-1t * 3 + 3t2 * 3) = 0
(-3t + 9t2) = 0

Solving
-3t + 9t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '3t'.
3t(-1 + 3t) = 0

Ignore the factor 3.
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 '(-1 + 3t)' equal to zero and attempt to solve:

Simplifying
-1 + 3t = 0

Solving
-1 + 3t = 0

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

Add '1' to each side of the equation.
-1 + 1 + 3t = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3t = 0 + 1
3t = 0 + 1

Combine like terms: 0 + 1 = 1
3t = 1

Divide each side by '3'.
t = 0.3333333333

Simplifying
t = 0.3333333333
Solution
t = {0, 0.3333333333}