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

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

Simplifying
0 = -16t2 + -2t + 5

Reorder the terms:
0 = 5 + -2t + -16t2

Solving
0 = 5 + -2t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -5 = -5
-5 + 2t + 16t2 = 5 + -2t + -16t2 + -5 + 2t + 16t2

Reorder the terms:
-5 + 2t + 16t2 = 5 + -5 + -2t + 2t + -16t2 + 16t2

Combine like terms: 5 + -5 = 0
-5 + 2t + 16t2 = 0 + -2t + 2t + -16t2 + 16t2
-5 + 2t + 16t2 = -2t + 2t + -16t2 + 16t2

Combine like terms: -2t + 2t = 0
-5 + 2t + 16t2 = 0 + -16t2 + 16t2
-5 + 2t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-5 + 2t + 16t2 = 0

Factor a trinomial.
(-5 + -8t)(1 + -2t) = 0

Subproblem 1
Set the factor '(-5 + -8t)' equal to zero and attempt to solve:

Simplifying
-5 + -8t = 0

Solving
-5 + -8t = 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 + -8t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -8t = 0 + 5
-8t = 0 + 5

Combine like terms: 0 + 5 = 5
-8t = 5

Divide each side by '-8'.
t = -0.625

Simplifying
t = -0.625
Subproblem 2
Set the factor '(1 + -2t)' equal to zero and attempt to solve:

Simplifying
1 + -2t = 0

Solving
1 + -2t = 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 + -2t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2t = 0 + -1
-2t = 0 + -1

Combine like terms: 0 + -1 = -1
-2t = -1

Divide each side by '-2'.
t = 0.5

Simplifying
t = 0.5
Solution
t = {-0.625, 0.5}