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

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

Simplifying
(5 + -1j)(3 + -3j) = 0

Multiply (5 + -1j) * (3 + -3j)
(5(3 + -3j) + -1j * (3 + -3j)) = 0
((3 * 5 + -3j * 5) + -1j * (3 + -3j)) = 0
((15 + -15j) + -1j * (3 + -3j)) = 0
(15 + -15j + (3 * -1j + -3j * -1j)) = 0
(15 + -15j + (-3j + 3j2)) = 0

Combine like terms: -15j + -3j = -18j
(15 + -18j + 3j2) = 0

Solving
15 + -18j + 3j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -6j + j2) = 0

Factor a trinomial.
3((1 + -1j)(5 + -1j)) = 0

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

Simplifying
1 + -1j = 0

Solving
1 + -1j = 0

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

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

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

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

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

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

Simplifying
5 + -1j = 0

Solving
5 + -1j = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1j = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1j = 0 + -5
-1j = 0 + -5

Combine like terms: 0 + -5 = -5
-1j = -5

Divide each side by '-1'.
j = 5

Simplifying
j = 5
Solution
j = {1, 5}