3j^2+5j+2=0

Solution for 3j^2+5j+2=0 equation:

Simplifying
3j2 + 5j + 2 = 0

Reorder the terms:
2 + 5j + 3j2 = 0

Solving
2 + 5j + 3j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(1 + j)(2 + 3j) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(2 + 3j)' equal to zero and attempt to solve:

Simplifying
2 + 3j = 0

Solving
2 + 3j = 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 + 3j = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3j = 0 + -2
3j = 0 + -2

Combine like terms: 0 + -2 = -2
3j = -2

Divide each side by '3'.
j = -0.6666666667

Simplifying
j = -0.6666666667
Solution
j = {-1, -0.6666666667}