j^2+14j+45=0

Solution for j^2+14j+45=0 equation:

Simplifying
j2 + 14j + 45 = 0

Reorder the terms:
45 + 14j + j2 = 0

Solving
45 + 14j + j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(9 + j)(5 + j) = 0

Subproblem 1
Set the factor '(9 + j)' equal to zero and attempt to solve:

Simplifying
9 + j = 0

Solving
9 + j = 0

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

Add '-9' to each side of the equation.
9 + -9 + j = 0 + -9

Combine like terms: 9 + -9 = 0
0 + j = 0 + -9
j = 0 + -9

Combine like terms: 0 + -9 = -9
j = -9

Simplifying
j = -9
Subproblem 2
Set the factor '(5 + j)' equal to zero and attempt to solve:

Simplifying
5 + j = 0

Solving
5 + j = 0

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

Add '-5' to each side of the equation.
5 + -5 + j = 0 + -5

Combine like terms: 5 + -5 = 0
0 + j = 0 + -5
j = 0 + -5

Combine like terms: 0 + -5 = -5
j = -5

Simplifying
j = -5
Solution
j = {-9, -5}