-t^2+9t+22=0

Solution for -t^2+9t+22=0 equation:

Simplifying
-1t2 + 9t + 22 = 0

Reorder the terms:
22 + 9t + -1t2 = 0

Solving
22 + 9t + -1t2 = 0

Solving for variable 't'.

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

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

Simplifying
11 + -1t = 0

Solving
11 + -1t = 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 + -1t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1t = 0 + -11
-1t = 0 + -11

Combine like terms: 0 + -11 = -11
-1t = -11

Divide each side by '-1'.
t = 11

Simplifying
t = 11
Subproblem 2
Set the factor '(2 + t)' equal to zero and attempt to solve:

Simplifying
2 + t = 0

Solving
2 + t = 0

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

Add '-2' to each side of the equation.
2 + -2 + t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + t = 0 + -2
t = 0 + -2

Combine like terms: 0 + -2 = -2
t = -2

Simplifying
t = -2
Solution
t = {11, -2}