u^2-13u+22=

Solution for u^2-13u+22= 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.
(2 + -1u)(11 + -1u) = 0

Subproblem 1
Set the factor '(2 + -1u)' equal to zero and attempt to solve:

Simplifying
2 + -1u = 0

Solving
2 + -1u = 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 + -1u = 0 + -2

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

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

Divide each side by '-1'.
u = 2

Simplifying
u = 2
Subproblem 2
Set the factor '(11 + -1u)' equal to zero and attempt to solve:

Simplifying
11 + -1u = 0

Solving
11 + -1u = 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 + -1u = 0 + -11

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

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

Divide each side by '-1'.
u = 11

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