(3+2j)*(-6+j)=

Solution for (3+2j)*(-6+j)= equation:

Simplifying
(3 + 2j)(-6 + j) = 0

Multiply (3 + 2j) * (-6 + j)
(3(-6 + j) + 2j * (-6 + j)) = 0
((-6 * 3 + j * 3) + 2j * (-6 + j)) = 0
((-18 + 3j) + 2j * (-6 + j)) = 0
(-18 + 3j + (-6 * 2j + j * 2j)) = 0
(-18 + 3j + (-12j + 2j2)) = 0

Combine like terms: 3j + -12j = -9j
(-18 + -9j + 2j2) = 0

Solving
-18 + -9j + 2j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(-3 + -2j)(6 + -1j) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -1j)' equal to zero and attempt to solve:

Simplifying
6 + -1j = 0

Solving
6 + -1j = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1j = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1j = 0 + -6
-1j = 0 + -6

Combine like terms: 0 + -6 = -6
-1j = -6

Divide each side by '-1'.
j = 6

Simplifying
j = 6
Solution
j = {-1.5, 6}