8t^3+-24t^2=0

Solution for 8t^3+-24t^2=0 equation:

Simplifying
8t3 + -24t2 = 0

Reorder the terms:
-24t2 + 8t3 = 0

Solving
-24t2 + 8t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '8t2'.
8t2(-3 + t) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 't2' equal to zero and attempt to solve:

Simplifying
t2 = 0

Solving
t2 = 0

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

Simplifying
t2 = 0

Take the square root of each side:
t = {0}
Subproblem 2
Set the factor '(-3 + t)' equal to zero and attempt to solve:

Simplifying
-3 + t = 0

Solving
-3 + t = 0

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

Add '3' to each side of the equation.
-3 + 3 + t = 0 + 3

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

Combine like terms: 0 + 3 = 3
t = 3

Simplifying
t = 3
Solution
t = {0, 3}