-16t^2-2t+333=0

Solution for -16t^2-2t+333=0 equation:

Simplifying
-16t2 + -2t + 333 = 0

Reorder the terms:
333 + -2t + -16t2 = 0

Solving
333 + -2t + -16t2 = 0

Solving for variable 't'.

Factor a trinomial.
(9 + -2t)(37 + 8t) = 0

Subproblem 1
Set the factor '(9 + -2t)' equal to zero and attempt to solve:

Simplifying
9 + -2t = 0

Solving
9 + -2t = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2t = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2t = 0 + -9
-2t = 0 + -9

Combine like terms: 0 + -9 = -9
-2t = -9

Divide each side by '-2'.
t = 4.5

Simplifying
t = 4.5
Subproblem 2
Set the factor '(37 + 8t)' equal to zero and attempt to solve:

Simplifying
37 + 8t = 0

Solving
37 + 8t = 0

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

Add '-37' to each side of the equation.
37 + -37 + 8t = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 8t = 0 + -37
8t = 0 + -37

Combine like terms: 0 + -37 = -37
8t = -37

Divide each side by '8'.
t = -4.625

Simplifying
t = -4.625
Solution
t = {4.5, -4.625}