j^2+14j+24=0

Solution for j^2+14j+24=0 equation:

Simplifying
j2 + 14j + 24 = 0

Reorder the terms:
24 + 14j + j2 = 0

Solving
24 + 14j + j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(12 + j)(2 + j) = 0

Subproblem 1
Set the factor '(12 + j)' equal to zero and attempt to solve:

Simplifying
12 + j = 0

Solving
12 + j = 0

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

Add '-12' to each side of the equation.
12 + -12 + j = 0 + -12

Combine like terms: 12 + -12 = 0
0 + j = 0 + -12
j = 0 + -12

Combine like terms: 0 + -12 = -12
j = -12

Simplifying
j = -12
Subproblem 2
Set the factor '(2 + j)' equal to zero and attempt to solve:

Simplifying
2 + j = 0

Solving
2 + j = 0

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

Add '-2' to each side of the equation.
2 + -2 + j = 0 + -2

Combine like terms: 2 + -2 = 0
0 + j = 0 + -2
j = 0 + -2

Combine like terms: 0 + -2 = -2
j = -2

Simplifying
j = -2
Solution
j = {-12, -2}