0=-16t^2+22t+3

Solution for 0=-16t^2+22t+3 equation:

Simplifying
0 = -16t2 + 22t + 3

Reorder the terms:
0 = 3 + 22t + -16t2

Solving
0 = 3 + 22t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -3 = -3
-3 + -22t + 16t2 = 3 + 22t + -16t2 + -3 + -22t + 16t2

Reorder the terms:
-3 + -22t + 16t2 = 3 + -3 + 22t + -22t + -16t2 + 16t2

Combine like terms: 3 + -3 = 0
-3 + -22t + 16t2 = 0 + 22t + -22t + -16t2 + 16t2
-3 + -22t + 16t2 = 22t + -22t + -16t2 + 16t2

Combine like terms: 22t + -22t = 0
-3 + -22t + 16t2 = 0 + -16t2 + 16t2
-3 + -22t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-3 + -22t + 16t2 = 0

Factor a trinomial.
(-1 + -8t)(3 + -2t) = 0

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

Simplifying
-1 + -8t = 0

Solving
-1 + -8t = 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 + -8t = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -8t = 0 + 1
-8t = 0 + 1

Combine like terms: 0 + 1 = 1
-8t = 1

Divide each side by '-8'.
t = -0.125

Simplifying
t = -0.125
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 = {-0.125, 1.5}