(6+2j)(8+j)=

Solution for (6+2j)(8+j)= equation:

Simplifying
(6 + 2j)(8 + j) = 0

Multiply (6 + 2j) * (8 + j)
(6(8 + j) + 2j * (8 + j)) = 0
((8 * 6 + j * 6) + 2j * (8 + j)) = 0
((48 + 6j) + 2j * (8 + j)) = 0
(48 + 6j + (8 * 2j + j * 2j)) = 0
(48 + 6j + (16j + 2j2)) = 0

Combine like terms: 6j + 16j = 22j
(48 + 22j + 2j2) = 0

Solving
48 + 22j + 2j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + 11j + j2) = 0

Factor a trinomial.
2((8 + j)(3 + j)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(8 + j)' equal to zero and attempt to solve:

Simplifying
8 + j = 0

Solving
8 + j = 0

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

Add '-8' to each side of the equation.
8 + -8 + j = 0 + -8

Combine like terms: 8 + -8 = 0
0 + j = 0 + -8
j = 0 + -8

Combine like terms: 0 + -8 = -8
j = -8

Simplifying
j = -8
Subproblem 2
Set the factor '(3 + j)' equal to zero and attempt to solve:

Simplifying
3 + j = 0

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

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

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

Simplifying
j = -3
Solution
j = {-8, -3}