11=-16t^2+16t+8

Solution for 11=-16t^2+16t+8 equation:

Simplifying
11 = -16t2 + 16t + 8

Reorder the terms:
11 = 8 + 16t + -16t2

Solving
11 = 8 + 16t + -16t2

Solving for variable 't'.

Combine like terms: 11 + -8 = 3
3 + -16t + 16t2 = 8 + 16t + -16t2 + -8 + -16t + 16t2

Reorder the terms:
3 + -16t + 16t2 = 8 + -8 + 16t + -16t + -16t2 + 16t2

Combine like terms: 8 + -8 = 0
3 + -16t + 16t2 = 0 + 16t + -16t + -16t2 + 16t2
3 + -16t + 16t2 = 16t + -16t + -16t2 + 16t2

Combine like terms: 16t + -16t = 0
3 + -16t + 16t2 = 0 + -16t2 + 16t2
3 + -16t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
3 + -16t + 16t2 = 0

Factor a trinomial.
(1 + -4t)(3 + -4t) = 0

Subproblem 1
Set the factor '(1 + -4t)' equal to zero and attempt to solve:

Simplifying
1 + -4t = 0

Solving
1 + -4t = 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 + -4t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4t = 0 + -1
-4t = 0 + -1

Combine like terms: 0 + -1 = -1
-4t = -1

Divide each side by '-4'.
t = 0.25

Simplifying
t = 0.25
Subproblem 2
Set the factor '(3 + -4t)' equal to zero and attempt to solve:

Simplifying
3 + -4t = 0

Solving
3 + -4t = 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 + -4t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4t = 0 + -3
-4t = 0 + -3

Combine like terms: 0 + -3 = -3
-4t = -3

Divide each side by '-4'.
t = 0.75

Simplifying
t = 0.75
Solution
t = {0.25, 0.75}