j^2+9j+20=0

Solution for j^2+9j+20=0 equation:

Simplifying
j2 + 9j + 20 = 0

Reorder the terms:
20 + 9j + j2 = 0

Solving
20 + 9j + j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(5 + j)(4 + j) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + j)' equal to zero and attempt to solve:

Simplifying
4 + j = 0

Solving
4 + j = 0

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

Add '-4' to each side of the equation.
4 + -4 + j = 0 + -4

Combine like terms: 4 + -4 = 0
0 + j = 0 + -4
j = 0 + -4

Combine like terms: 0 + -4 = -4
j = -4

Simplifying
j = -4
Solution
j = {-5, -4}