u^2+9u=-14

Solution for u^2+9u=-14 equation:

Simplifying
u2 + 9u = -14

Reorder the terms:
9u + u2 = -14

Solving
9u + u2 = -14

Solving for variable 'u'.

Reorder the terms:
14 + 9u + u2 = -14 + 14

Combine like terms: -14 + 14 = 0
14 + 9u + u2 = 0

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

Subproblem 1
Set the factor '(7 + u)' equal to zero and attempt to solve:

Simplifying
7 + u = 0

Solving
7 + u = 0

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

Add '-7' to each side of the equation.
7 + -7 + u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + u = 0 + -7
u = 0 + -7

Combine like terms: 0 + -7 = -7
u = -7

Simplifying
u = -7
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 = {-7, -2}