w^2+24w+23=0

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

Simplifying
w2 + 24w + 23 = 0

Reorder the terms:
23 + 24w + w2 = 0

Solving
23 + 24w + w2 = 0

Solving for variable 'w'.

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

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

Simplifying
23 + w = 0

Solving
23 + w = 0

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

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

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

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

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

Simplifying
1 + w = 0

Solving
1 + w = 0

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

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

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

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

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