j^2+24j+23=0

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

Simplifying
j2 + 24j + 23 = 0

Reorder the terms:
23 + 24j + j2 = 0

Solving
23 + 24j + j2 = 0

Solving for variable 'j'.

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

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

Simplifying
23 + j = 0

Solving
23 + j = 0

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

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

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

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

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

Simplifying
1 + j = 0

Solving
1 + j = 0

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

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

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

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

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