j^2+9j-22=0

Solution for j^2+9j-22=0 equation:

Simplifying
j2 + 9j + -22 = 0

Reorder the terms:
-22 + 9j + j2 = 0

Solving
-22 + 9j + j2 = 0

Solving for variable 'j'.

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

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

Simplifying
-11 + -1j = 0

Solving
-11 + -1j = 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 + -1j = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1j = 0 + 11
-1j = 0 + 11

Combine like terms: 0 + 11 = 11
-1j = 11

Divide each side by '-1'.
j = -11

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

Simplifying
2 + -1j = 0

Solving
2 + -1j = 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 + -1j = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1j = 0 + -2
-1j = 0 + -2

Combine like terms: 0 + -2 = -2
-1j = -2

Divide each side by '-1'.
j = 2

Simplifying
j = 2
Solution
j = {-11, 2}