12j^2+11j=-2

Solution for 12j^2+11j=-2 equation:

Simplifying
12j2 + 11j = -2

Reorder the terms:
11j + 12j2 = -2

Solving
11j + 12j2 = -2

Solving for variable 'j'.

Reorder the terms:
2 + 11j + 12j2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 11j + 12j2 = 0

Factor a trinomial.
(2 + 3j)(1 + 4j) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + 4j)' equal to zero and attempt to solve:

Simplifying
1 + 4j = 0

Solving
1 + 4j = 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 + 4j = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4j = 0 + -1
4j = 0 + -1

Combine like terms: 0 + -1 = -1
4j = -1

Divide each side by '4'.
j = -0.25

Simplifying
j = -0.25
Solution
j = {-0.6666666667, -0.25}