u^2+5u+8u+40=

Solution for u^2+5u+8u+40= equation:

Simplifying
u2 + 5u + 8u + 40 = 0

Reorder the terms:
40 + 5u + 8u + u2 = 0

Combine like terms: 5u + 8u = 13u
40 + 13u + u2 = 0

Solving
40 + 13u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(8 + u)(5 + u) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + u)' equal to zero and attempt to solve:

Simplifying
5 + u = 0

Solving
5 + u = 0

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

Add '-5' to each side of the equation.
5 + -5 + u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + u = 0 + -5
u = 0 + -5

Combine like terms: 0 + -5 = -5
u = -5

Simplifying
u = -5
Solution
u = {-8, -5}