22=6t+16t^2

Solution for 22=6t+16t^2 equation:

Simplifying
22 = 6t + 16t2

Solving
22 = 6t + 16t2

Solving for variable 't'.

Reorder the terms:
22 + -6t + -16t2 = 6t + -6t + 16t2 + -16t2

Combine like terms: 6t + -6t = 0
22 + -6t + -16t2 = 0 + 16t2 + -16t2
22 + -6t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
22 + -6t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(11 + -3t + -8t2) = 0

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

Ignore the factor 2.
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 '(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
Solution
t = {1, -1.375}