u^2+22u+112=0

Solution for u^2+22u+112=0 equation:

Simplifying
u2 + 22u + 112 = 0

Reorder the terms:
112 + 22u + u2 = 0

Solving
112 + 22u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(14 + u)(8 + u) = 0

Subproblem 1
Set the factor '(14 + u)' equal to zero and attempt to solve:

Simplifying
14 + u = 0

Solving
14 + u = 0

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

Add '-14' to each side of the equation.
14 + -14 + u = 0 + -14

Combine like terms: 14 + -14 = 0
0 + u = 0 + -14
u = 0 + -14

Combine like terms: 0 + -14 = -14
u = -14

Simplifying
u = -14
Subproblem 2
Set the factor '(8 + u)' equal to zero and attempt to solve:

Simplifying
8 + u = 0

Solving
8 + u = 0

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

Add '-8' to each side of the equation.
8 + -8 + u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + u = 0 + -8
u = 0 + -8

Combine like terms: 0 + -8 = -8
u = -8

Simplifying
u = -8
Solution
u = {-14, -8}