3t^2-24t=

Solution for 3t^2-24t= equation:

Simplifying
3t2 + -24t = 0

Reorder the terms:
-24t + 3t2 = 0

Solving
-24t + 3t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '3t'.
3t(-8 + 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 '(-8 + t)' equal to zero and attempt to solve:

Simplifying
-8 + t = 0

Solving
-8 + t = 0

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

Add '8' to each side of the equation.
-8 + 8 + t = 0 + 8

Combine like terms: -8 + 8 = 0
0 + t = 0 + 8
t = 0 + 8

Combine like terms: 0 + 8 = 8
t = 8

Simplifying
t = 8
Solution
t = {0, 8}