3j^2+28j+9=0

Solution for 3j^2+28j+9=0 equation:

Simplifying
3j2 + 28j + 9 = 0

Reorder the terms:
9 + 28j + 3j2 = 0

Solving
9 + 28j + 3j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(9 + j)(1 + 3j) = 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 '(1 + 3j)' equal to zero and attempt to solve:

Simplifying
1 + 3j = 0

Solving
1 + 3j = 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 + 3j = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3j = 0 + -1
3j = 0 + -1

Combine like terms: 0 + -1 = -1
3j = -1

Divide each side by '3'.
j = -0.3333333333

Simplifying
j = -0.3333333333
Solution
j = {-9, -0.3333333333}