U^2+24U+23=0

Solution for U^2+24U+23=0 equation:

Simplifying
U2 + 24U + 23 = 0

Reorder the terms:
23 + 24U + U2 = 0

Solving
23 + 24U + U2 = 0

Solving for variable 'U'.

Factor a trinomial.
(23 + U)(1 + U) = 0

Subproblem 1
Set the factor '(23 + U)' equal to zero and attempt to solve:

Simplifying
23 + U = 0

Solving
23 + U = 0

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

Add '-23' to each side of the equation.
23 + -23 + U = 0 + -23

Combine like terms: 23 + -23 = 0
0 + U = 0 + -23
U = 0 + -23

Combine like terms: 0 + -23 = -23
U = -23

Simplifying
U = -23
Subproblem 2
Set the factor '(1 + U)' equal to zero and attempt to solve:

Simplifying
1 + U = 0

Solving
1 + U = 0

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

Add '-1' to each side of the equation.
1 + -1 + U = 0 + -1

Combine like terms: 1 + -1 = 0
0 + U = 0 + -1
U = 0 + -1

Combine like terms: 0 + -1 = -1
U = -1

Simplifying
U = -1
Solution
U = {-23, -1}