u^2+4u+8u+32=

Solution for u^2+4u+8u+32= equation:

Simplifying
u2 + 4u + 8u + 32 = 0

Reorder the terms:
32 + 4u + 8u + u2 = 0

Combine like terms: 4u + 8u = 12u
32 + 12u + u2 = 0

Solving
32 + 12u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(8 + u)(4 + 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 '(4 + u)' equal to zero and attempt to solve:

Simplifying
4 + u = 0

Solving
4 + u = 0

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

Add '-4' to each side of the equation.
4 + -4 + u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + u = 0 + -4
u = 0 + -4

Combine like terms: 0 + -4 = -4
u = -4

Simplifying
u = -4
Solution
u = {-8, -4}