3t^2-90t=0

Solution for 3t^2-90t=0 equation:

Simplifying
3t2 + -90t = 0

Reorder the terms:
-90t + 3t2 = 0

Solving
-90t + 3t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '3t'.
3t(-30 + 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 '(-30 + t)' equal to zero and attempt to solve:

Simplifying
-30 + t = 0

Solving
-30 + t = 0

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

Add '30' to each side of the equation.
-30 + 30 + t = 0 + 30

Combine like terms: -30 + 30 = 0
0 + t = 0 + 30
t = 0 + 30

Combine like terms: 0 + 30 = 30
t = 30

Simplifying
t = 30
Solution
t = {0, 30}