-12t^2+408t=0

Solution for -12t^2+408t=0 equation:

Simplifying
-12t2 + 408t = 0

Reorder the terms:
408t + -12t2 = 0

Solving
408t + -12t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '12t'.
12t(34 + -1t) = 0

Ignore the factor 12.
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 '(34 + -1t)' equal to zero and attempt to solve:

Simplifying
34 + -1t = 0

Solving
34 + -1t = 0

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

Add '-34' to each side of the equation.
34 + -34 + -1t = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -1t = 0 + -34
-1t = 0 + -34

Combine like terms: 0 + -34 = -34
-1t = -34

Divide each side by '-1'.
t = 34

Simplifying
t = 34
Solution
t = {0, 34}