-16t^2+16t+96=96

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

Simplifying
-16t2 + 16t + 96 = 96

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

Add '-96' to each side of the equation.
96 + 16t + -96 + -16t2 = 96 + -96

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

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

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

Solving
16t + -16t2 = 0

Solving for variable 't'.

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

Simplifying
1 + -1t = 0

Solving
1 + -1t = 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 + -1t = 0 + -1

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

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

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

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