4j^2-24j+11=0

Solution for 4j^2-24j+11=0 equation:

Simplifying
4j2 + -24j + 11 = 0

Reorder the terms:
11 + -24j + 4j2 = 0

Solving
11 + -24j + 4j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(1 + -2j)(11 + -2j) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(11 + -2j)' equal to zero and attempt to solve:

Simplifying
11 + -2j = 0

Solving
11 + -2j = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2j = 0 + -11

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

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

Divide each side by '-2'.
j = 5.5

Simplifying
j = 5.5
Solution
j = {0.5, 5.5}