u^2+2u+9u+18=

Solution for u^2+2u+9u+18= equation:

Simplifying
u2 + 2u + 9u + 18 = 0

Reorder the terms:
18 + 2u + 9u + u2 = 0

Combine like terms: 2u + 9u = 11u
18 + 11u + u2 = 0

Solving
18 + 11u + u2 = 0

Solving for variable 'u'.

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

Subproblem 1
Set the factor '(9 + u)' equal to zero and attempt to solve:

Simplifying
9 + u = 0

Solving
9 + u = 0

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

Add '-9' to each side of the equation.
9 + -9 + u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + u = 0 + -9
u = 0 + -9

Combine like terms: 0 + -9 = -9
u = -9

Simplifying
u = -9
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 = {-9, -2}