(-2-5j)(3-2j)=

Solution for (-2-5j)(3-2j)= equation:

Simplifying
(-2 + -5j)(3 + -2j) = 0

Multiply (-2 + -5j) * (3 + -2j)
(-2(3 + -2j) + -5j * (3 + -2j)) = 0
((3 * -2 + -2j * -2) + -5j * (3 + -2j)) = 0
((-6 + 4j) + -5j * (3 + -2j)) = 0
(-6 + 4j + (3 * -5j + -2j * -5j)) = 0
(-6 + 4j + (-15j + 10j2)) = 0

Combine like terms: 4j + -15j = -11j
(-6 + -11j + 10j2) = 0

Solving
-6 + -11j + 10j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(-2 + -5j)(3 + -2j) = 0

Subproblem 1
Set the factor '(-2 + -5j)' equal to zero and attempt to solve:

Simplifying
-2 + -5j = 0

Solving
-2 + -5j = 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 + -5j = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5j = 0 + 2
-5j = 0 + 2

Combine like terms: 0 + 2 = 2
-5j = 2

Divide each side by '-5'.
j = -0.4

Simplifying
j = -0.4
Subproblem 2
Set the factor '(3 + -2j)' equal to zero and attempt to solve:

Simplifying
3 + -2j = 0

Solving
3 + -2j = 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 + -2j = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2j = 0 + -3
-2j = 0 + -3

Combine like terms: 0 + -3 = -3
-2j = -3

Divide each side by '-2'.
j = 1.5

Simplifying
j = 1.5
Solution
j = {-0.4, 1.5}