80(t)=-16t^2+96t

Solution for 80(t)=-16t^2+96t equation:

Simplifying
80(t) = -16t2 + 96t

Reorder the terms:
80t = 96t + -16t2

Solving
80t = 96t + -16t2

Solving for variable 't'.

Combine like terms: 80t + -96t = -16t
-16t + 16t2 = 96t + -16t2 + -96t + 16t2

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

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

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

Factor out the Greatest Common Factor (GCF), '16t'.
16t(-1 + 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 '(-1 + t)' equal to zero and attempt to solve:

Simplifying
-1 + t = 0

Solving
-1 + t = 0

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

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

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

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

Simplifying
t = 1
Solution
t = {0, 1}