16t^2+2t-495=0

Solution for 16t^2+2t-495=0 equation:

Simplifying
16t2 + 2t + -495 = 0

Reorder the terms:
-495 + 2t + 16t2 = 0

Solving
-495 + 2t + 16t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-45 + -8t)(11 + -2t) = 0

Subproblem 1
Set the factor '(-45 + -8t)' equal to zero and attempt to solve:

Simplifying
-45 + -8t = 0

Solving
-45 + -8t = 0

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

Add '45' to each side of the equation.
-45 + 45 + -8t = 0 + 45

Combine like terms: -45 + 45 = 0
0 + -8t = 0 + 45
-8t = 0 + 45

Combine like terms: 0 + 45 = 45
-8t = 45

Divide each side by '-8'.
t = -5.625

Simplifying
t = -5.625
Subproblem 2
Set the factor '(11 + -2t)' equal to zero and attempt to solve:

Simplifying
11 + -2t = 0

Solving
11 + -2t = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2t = 0 + -11
-2t = 0 + -11

Combine like terms: 0 + -11 = -11
-2t = -11

Divide each side by '-2'.
t = 5.5

Simplifying
t = 5.5
Solution
t = {-5.625, 5.5}