(-16t^2)+13t+3=0

Solution for (-16t^2)+13t+3=0 equation:

Simplifying
(-16t2) + 13t + 3 = 0

Reorder the terms:
3 + 13t + (-16t2) = 0

Solving
3 + 13t + (-16t2) = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -1t)(3 + 16t) = 0

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

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1t = 0 + -1
-1t = 0 + -1

Combine like terms: 0 + -1 = -1
-1t = -1

Divide each side by '-1'.
t = 1

Simplifying
t = 1
Subproblem 2
Set the factor '(3 + 16t)' equal to zero and attempt to solve:

Simplifying
3 + 16t = 0

Solving
3 + 16t = 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 + 16t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 16t = 0 + -3
16t = 0 + -3

Combine like terms: 0 + -3 = -3
16t = -3

Divide each side by '16'.
t = -0.1875

Simplifying
t = -0.1875
Solution
t = {1, -0.1875}