27t^2=3t

Solution for 27t^2=3t equation:

Simplifying
27t2 = 3t

Solving
27t2 = 3t

Solving for variable 't'.

Reorder the terms:
-3t + 27t2 = 3t + -3t

Combine like terms: 3t + -3t = 0
-3t + 27t2 = 0

Factor out the Greatest Common Factor (GCF), '3t'.
3t(-1 + 9t) = 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 + 9t)' equal to zero and attempt to solve:

Simplifying
-1 + 9t = 0

Solving
-1 + 9t = 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 + 9t = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 9t = 0 + 1
9t = 0 + 1

Combine like terms: 0 + 1 = 1
9t = 1

Divide each side by '9'.
t = 0.1111111111

Simplifying
t = 0.1111111111
Solution
t = {0, 0.1111111111}