0=16t^2-19t+3

Solution for 0=16t^2-19t+3 equation:

Simplifying
0 = 16t2 + -19t + 3

Reorder the terms:
0 = 3 + -19t + 16t2

Solving
0 = 3 + -19t + 16t2

Solving for variable 't'.

Combine like terms: 0 + -3 = -3
-3 + 19t + -16t2 = 3 + -19t + 16t2 + -3 + 19t + -16t2

Reorder the terms:
-3 + 19t + -16t2 = 3 + -3 + -19t + 19t + 16t2 + -16t2

Combine like terms: 3 + -3 = 0
-3 + 19t + -16t2 = 0 + -19t + 19t + 16t2 + -16t2
-3 + 19t + -16t2 = -19t + 19t + 16t2 + -16t2

Combine like terms: -19t + 19t = 0
-3 + 19t + -16t2 = 0 + 16t2 + -16t2
-3 + 19t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
-3 + 19t + -16t2 = 0

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

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

Simplifying
-1 + t = 0

Solving
-1 + t = 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 + t = 0 + 1

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

Combine like terms: 0 + 1 = 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}