0=-16t^2+16t+5

Solution for 0=-16t^2+16t+5 equation:

Simplifying
0 = -16t2 + 16t + 5

Reorder the terms:
0 = 5 + 16t + -16t2

Solving
0 = 5 + 16t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -5 = -5
-5 + -16t + 16t2 = 5 + 16t + -16t2 + -5 + -16t + 16t2

Reorder the terms:
-5 + -16t + 16t2 = 5 + -5 + 16t + -16t + -16t2 + 16t2

Combine like terms: 5 + -5 = 0
-5 + -16t + 16t2 = 0 + 16t + -16t + -16t2 + 16t2
-5 + -16t + 16t2 = 16t + -16t + -16t2 + 16t2

Combine like terms: 16t + -16t = 0
-5 + -16t + 16t2 = 0 + -16t2 + 16t2
-5 + -16t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-5 + -16t + 16t2 = 0

Factor a trinomial.
(-1 + -4t)(5 + -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 '(5 + -4t)' equal to zero and attempt to solve:

Simplifying
5 + -4t = 0

Solving
5 + -4t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4t = 0 + -5
-4t = 0 + -5

Combine like terms: 0 + -5 = -5
-4t = -5

Divide each side by '-4'.
t = 1.25

Simplifying
t = 1.25
Solution
t = {-0.25, 1.25}