96=-16t^2+8t

Solution for 96=-16t^2+8t equation:

Simplifying
96 = -16t2 + 8t

Reorder the terms:
96 = 8t + -16t2

Solving
96 = 8t + -16t2

Solving for variable 't'.

Reorder the terms:
96 + -8t + 16t2 = 8t + -8t + -16t2 + 16t2

Combine like terms: 8t + -8t = 0
96 + -8t + 16t2 = 0 + -16t2 + 16t2
96 + -8t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
96 + -8t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(12 + -1t + 2t2) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(12 + -1t + 2t2)' equal to zero and attempt to solve:

Simplifying
12 + -1t + 2t2 = 0

Solving
12 + -1t + 2t2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
6 + -0.5t + t2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -0.5t + -6 + t2 = 0 + -6

Reorder the terms:
6 + -6 + -0.5t + t2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -0.5t + t2 = 0 + -6
-0.5t + t2 = 0 + -6

Combine like terms: 0 + -6 = -6
-0.5t + t2 = -6

The t term is -0.5t.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5t + 0.0625 + t2 = -6 + 0.0625

Reorder the terms:
0.0625 + -0.5t + t2 = -6 + 0.0625

Combine like terms: -6 + 0.0625 = -5.9375
0.0625 + -0.5t + t2 = -5.9375

Factor a perfect square on the left side:
(t + -0.25)(t + -0.25) = -5.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.