0=-16t^2-96t

Solution for 0=-16t^2-96t equation:

Simplifying
0 = -16t2 + -96t

Reorder the terms:
0 = -96t + -16t2

Solving
0 = -96t + -16t2

Solving for variable 't'.
Remove the zero:
96t + 16t2 = -96t + -16t2 + 96t + 16t2

Reorder the terms:
96t + 16t2 = -96t + 96t + -16t2 + 16t2

Combine like terms: -96t + 96t = 0
96t + 16t2 = 0 + -16t2 + 16t2
96t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
96t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16t'.
16t(6 + t) = 0

Ignore the factor 16.
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 '(6 + t)' equal to zero and attempt to solve:

Simplifying
6 + t = 0

Solving
6 + t = 0

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

Add '-6' to each side of the equation.
6 + -6 + t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + t = 0 + -6
t = 0 + -6

Combine like terms: 0 + -6 = -6
t = -6

Simplifying
t = -6
Solution
t = {0, -6}