4j^2+11j+6=0

Solution for 4j^2+11j+6=0 equation:

Simplifying
4j2 + 11j + 6 = 0

Reorder the terms:
6 + 11j + 4j2 = 0

Solving
6 + 11j + 4j2 = 0

Solving for variable 'j'.

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

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

Simplifying
2 + j = 0

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

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

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

Simplifying
j = -2
Subproblem 2
Set the factor '(3 + 4j)' equal to zero and attempt to solve:

Simplifying
3 + 4j = 0

Solving
3 + 4j = 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 + 4j = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4j = 0 + -3
4j = 0 + -3

Combine like terms: 0 + -3 = -3
4j = -3

Divide each side by '4'.
j = -0.75

Simplifying
j = -0.75
Solution
j = {-2, -0.75}