2j^2-9j-11=0

Solution for 2j^2-9j-11=0 equation:

Simplifying
2j2 + -9j + -11 = 0

Reorder the terms:
-11 + -9j + 2j2 = 0

Solving
-11 + -9j + 2j2 = 0

Solving for variable 'j'.

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

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

Simplifying
-1 + -1j = 0

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

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

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

Divide each side by '-1'.
j = -1

Simplifying
j = -1
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 = {-1, 5.5}