0=-16t^2+50t-39

Solution for 0=-16t^2+50t-39 equation:

Simplifying
0 = -16t2 + 50t + -39

Reorder the terms:
0 = -39 + 50t + -16t2

Solving
0 = -39 + 50t + -16t2

Solving for variable 't'.

Combine like terms: 0 + 39 = 39
39 + -50t + 16t2 = -39 + 50t + -16t2 + 39 + -50t + 16t2

Reorder the terms:
39 + -50t + 16t2 = -39 + 39 + 50t + -50t + -16t2 + 16t2

Combine like terms: -39 + 39 = 0
39 + -50t + 16t2 = 0 + 50t + -50t + -16t2 + 16t2
39 + -50t + 16t2 = 50t + -50t + -16t2 + 16t2

Combine like terms: 50t + -50t = 0
39 + -50t + 16t2 = 0 + -16t2 + 16t2
39 + -50t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
39 + -50t + 16t2 = 0

Factor a trinomial.
(3 + -2t)(13 + -8t) = 0

Subproblem 1
Set the factor '(3 + -2t)' equal to zero and attempt to solve:

Simplifying
3 + -2t = 0

Solving
3 + -2t = 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 + -2t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2t = 0 + -3
-2t = 0 + -3

Combine like terms: 0 + -3 = -3
-2t = -3

Divide each side by '-2'.
t = 1.5

Simplifying
t = 1.5
Subproblem 2
Set the factor '(13 + -8t)' equal to zero and attempt to solve:

Simplifying
13 + -8t = 0

Solving
13 + -8t = 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 + -8t = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -8t = 0 + -13
-8t = 0 + -13

Combine like terms: 0 + -13 = -13
-8t = -13

Divide each side by '-8'.
t = 1.625

Simplifying
t = 1.625
Solution
t = {1.5, 1.625}