u^2+3u+8u+24=0

Solution for u^2+3u+8u+24=0 equation:

Simplifying
u2 + 3u + 8u + 24 = 0

Reorder the terms:
24 + 3u + 8u + u2 = 0

Combine like terms: 3u + 8u = 11u
24 + 11u + u2 = 0

Solving
24 + 11u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(8 + u)(3 + 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 '(3 + u)' equal to zero and attempt to solve:

Simplifying
3 + u = 0

Solving
3 + u = 0

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

Add '-3' to each side of the equation.
3 + -3 + u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + u = 0 + -3
u = 0 + -3

Combine like terms: 0 + -3 = -3
u = -3

Simplifying
u = -3
Solution
u = {-8, -3}