2*3+2*2j+j*3+j*2j=

Solution for 2*3+2*2j+j*3+j*2j= equation:

Simplifying
2 * 3 + 2 * 2j + j * 3 + j * 2j = 0

Multiply 2 * 3
6 + 2 * 2j + j * 3 + j * 2j = 0

Multiply 2 * 2
6 + 4j + j * 3 + j * 2j = 0

Reorder the terms for easier multiplication:
6 + 4j + 3j + j * 2j = 0

Reorder the terms for easier multiplication:
6 + 4j + 3j + 2j * j = 0

Multiply j * j
6 + 4j + 3j + 2j2 = 0

Combine like terms: 4j + 3j = 7j
6 + 7j + 2j2 = 0

Solving
6 + 7j + 2j2 = 0

Solving for variable 'j'.

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

Subproblem 1
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
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 = {-2, -1.5}