(-2-j)(-3+j)=

Solution for (-2-j)(-3+j)= equation:

Simplifying
(-2 + -1j)(-3 + j) = 0

Multiply (-2 + -1j) * (-3 + j)
(-2(-3 + j) + -1j * (-3 + j)) = 0
((-3 * -2 + j * -2) + -1j * (-3 + j)) = 0
((6 + -2j) + -1j * (-3 + j)) = 0
(6 + -2j + (-3 * -1j + j * -1j)) = 0
(6 + -2j + (3j + -1j2)) = 0

Combine like terms: -2j + 3j = 1j
(6 + 1j + -1j2) = 0

Solving
6 + 1j + -1j2 = 0

Solving for variable 'j'.

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

Subproblem 1
Set the factor '(3 + -1j)' equal to zero and attempt to solve:

Simplifying
3 + -1j = 0

Solving
3 + -1j = 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 + -1j = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1j = 0 + -3
-1j = 0 + -3

Combine like terms: 0 + -3 = -3
-1j = -3

Divide each side by '-1'.
j = 3

Simplifying
j = 3
Subproblem 2
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
Solution
j = {3, -2}