22=t^2+9t

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

Simplifying
22 = t2 + 9t

Reorder the terms:
22 = 9t + t2

Solving
22 = 9t + t2

Solving for variable 't'.

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

Combine like terms: 9t + -9t = 0
22 + -9t + -1t2 = 0 + t2 + -1t2
22 + -9t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
22 + -9t + -1t2 = 0

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

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

Simplifying
2 + -1t = 0

Solving
2 + -1t = 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 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

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

Simplifying
11 + t = 0

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

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

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

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