u^2+13u+22=0

Solution for u^2+13u+22=0 equation:

Simplifying
u2 + 13u + 22 = 0

Reorder the terms:
22 + 13u + u2 = 0

Solving
22 + 13u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(11 + u)(2 + u) = 0

Subproblem 1
Set the factor '(11 + u)' equal to zero and attempt to solve:

Simplifying
11 + u = 0

Solving
11 + u = 0

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

Add '-11' to each side of the equation.
11 + -11 + u = 0 + -11

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

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

Simplifying
u = -11
Subproblem 2
Set the factor '(2 + u)' equal to zero and attempt to solve:

Simplifying
2 + u = 0

Solving
2 + u = 0

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

Add '-2' to each side of the equation.
2 + -2 + u = 0 + -2

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

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

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