U^2+6U+8=

Solution for U^2+6U+8= equation:

Simplifying
U2 + 6U + 8 = 0

Reorder the terms:
8 + 6U + U2 = 0

Solving
8 + 6U + U2 = 0

Solving for variable 'U'.

Factor a trinomial.
(4 + U)(2 + U) = 0

Subproblem 1
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
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 = {-4, -2}