j^2+9j+8=0

Solution for j^2+9j+8=0 equation:

Simplifying
j2 + 9j + 8 = 0

Reorder the terms:
8 + 9j + j2 = 0

Solving
8 + 9j + j2 = 0

Solving for variable 'j'.

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

Subproblem 1
Set the factor '(8 + j)' equal to zero and attempt to solve:

Simplifying
8 + j = 0

Solving
8 + j = 0

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

Add '-8' to each side of the equation.
8 + -8 + j = 0 + -8

Combine like terms: 8 + -8 = 0
0 + j = 0 + -8
j = 0 + -8

Combine like terms: 0 + -8 = -8
j = -8

Simplifying
j = -8
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 = {-8, -1}