30j^2+13j+1=0

Solution for 30j^2+13j+1=0 equation:

Simplifying
30j2 + 13j + 1 = 0

Reorder the terms:
1 + 13j + 30j2 = 0

Solving
1 + 13j + 30j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(1 + 3j)(1 + 10j) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + 10j)' equal to zero and attempt to solve:

Simplifying
1 + 10j = 0

Solving
1 + 10j = 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 + 10j = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10j = 0 + -1
10j = 0 + -1

Combine like terms: 0 + -1 = -1
10j = -1

Divide each side by '10'.
j = -0.1

Simplifying
j = -0.1
Solution
j = {-0.3333333333, -0.1}