0=-3t^2+12t

Solution for 0=-3t^2+12t equation:

Simplifying
0 = -3t2 + 12t

Reorder the terms:
0 = 12t + -3t2

Solving
0 = 12t + -3t2

Solving for variable 't'.
Remove the zero:
-12t + 3t2 = 12t + -3t2 + -12t + 3t2

Reorder the terms:
-12t + 3t2 = 12t + -12t + -3t2 + 3t2

Combine like terms: 12t + -12t = 0
-12t + 3t2 = 0 + -3t2 + 3t2
-12t + 3t2 = -3t2 + 3t2

Combine like terms: -3t2 + 3t2 = 0
-12t + 3t2 = 0

Factor out the Greatest Common Factor (GCF), '3t'.
3t(-4 + 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 '(-4 + t)' equal to zero and attempt to solve:

Simplifying
-4 + t = 0

Solving
-4 + t = 0

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

Add '4' to each side of the equation.
-4 + 4 + t = 0 + 4

Combine like terms: -4 + 4 = 0
0 + t = 0 + 4
t = 0 + 4

Combine like terms: 0 + 4 = 4
t = 4

Simplifying
t = 4
Solution
t = {0, 4}