2j^2+7j+3=0

Solution for 2j^2+7j+3=0 equation:

Simplifying
2j2 + 7j + 3 = 0

Reorder the terms:
3 + 7j + 2j2 = 0

Solving
3 + 7j + 2j2 = 0

Solving for variable 'j'.

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

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

Simplifying
3 + j = 0

Solving
3 + j = 0

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

Add '-3' to each side of the equation.
3 + -3 + j = 0 + -3

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

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

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

Simplifying
1 + 2j = 0

Solving
1 + 2j = 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 + 2j = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2j = 0 + -1
2j = 0 + -1

Combine like terms: 0 + -1 = -1
2j = -1

Divide each side by '2'.
j = -0.5

Simplifying
j = -0.5
Solution
j = {-3, -0.5}