350=-16t^2-2t+389

Solution for 350=-16t^2-2t+389 equation:

Simplifying
350 = -16t2 + -2t + 389

Reorder the terms:
350 = 389 + -2t + -16t2

Solving
350 = 389 + -2t + -16t2

Solving for variable 't'.

Combine like terms: 350 + -389 = -39
-39 + 2t + 16t2 = 389 + -2t + -16t2 + -389 + 2t + 16t2

Reorder the terms:
-39 + 2t + 16t2 = 389 + -389 + -2t + 2t + -16t2 + 16t2

Combine like terms: 389 + -389 = 0
-39 + 2t + 16t2 = 0 + -2t + 2t + -16t2 + 16t2
-39 + 2t + 16t2 = -2t + 2t + -16t2 + 16t2

Combine like terms: -2t + 2t = 0
-39 + 2t + 16t2 = 0 + -16t2 + 16t2
-39 + 2t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-39 + 2t + 16t2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
t = {-1.625, 1.5}