169=-16t^2+104t

Solution for 169=-16t^2+104t equation:

Simplifying
169 = -16t2 + 104t

Reorder the terms:
169 = 104t + -16t2

Solving
169 = 104t + -16t2

Solving for variable 't'.

Reorder the terms:
169 + -104t + 16t2 = 104t + -104t + -16t2 + 16t2

Combine like terms: 104t + -104t = 0
169 + -104t + 16t2 = 0 + -16t2 + 16t2
169 + -104t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
169 + -104t + 16t2 = 0

Factor a trinomial.
(13 + -4t)(13 + -4t) = 0

Subproblem 1
Set the factor '(13 + -4t)' equal to zero and attempt to solve:

Simplifying
13 + -4t = 0

Solving
13 + -4t = 0

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

Add '-13' to each side of the equation.
13 + -13 + -4t = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -4t = 0 + -13
-4t = 0 + -13

Combine like terms: 0 + -13 = -13
-4t = -13

Divide each side by '-4'.
t = 3.25

Simplifying
t = 3.25
Subproblem 2
Set the factor '(13 + -4t)' equal to zero and attempt to solve:

Simplifying
13 + -4t = 0

Solving
13 + -4t = 0

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

Add '-13' to each side of the equation.
13 + -13 + -4t = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -4t = 0 + -13
-4t = 0 + -13

Combine like terms: 0 + -13 = -13
-4t = -13

Divide each side by '-4'.
t = 3.25

Simplifying
t = 3.25
Solution
t = {3.25, 3.25}