3t^2=9t

Solution for 3t^2=9t equation:

Simplifying
3t2 = 9t

Solving
3t2 = 9t

Solving for variable 't'.

Reorder the terms:
-9t + 3t2 = 9t + -9t

Combine like terms: 9t + -9t = 0
-9t + 3t2 = 0

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

Simplifying
-3 + t = 0

Solving
-3 + t = 0

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

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

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

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

Simplifying
t = 3
Solution
t = {0, 3}