-16t^2+38t-22=0

Solution for -16t^2+38t-22=0 equation:

Simplifying
-16t2 + 38t + -22 = 0

Reorder the terms:
-22 + 38t + -16t2 = 0

Solving
-22 + 38t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-11 + 19t + -8t2) = 0

Factor a trinomial.
2((-11 + 8t)(1 + -1t)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-11 + 8t)' equal to zero and attempt to solve:

Simplifying
-11 + 8t = 0

Solving
-11 + 8t = 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 + 8t = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 8t = 0 + 11
8t = 0 + 11

Combine like terms: 0 + 11 = 11
8t = 11

Divide each side by '8'.
t = 1.375

Simplifying
t = 1.375
Subproblem 2
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
Solution
t = {1.375, 1}