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

Solution for (2-j)*(3+5j)=0 equation:

Simplifying
(2 + -1j)(3 + 5j) = 0

Multiply (2 + -1j) * (3 + 5j)
(2(3 + 5j) + -1j * (3 + 5j)) = 0
((3 * 2 + 5j * 2) + -1j * (3 + 5j)) = 0
((6 + 10j) + -1j * (3 + 5j)) = 0
(6 + 10j + (3 * -1j + 5j * -1j)) = 0
(6 + 10j + (-3j + -5j2)) = 0

Combine like terms: 10j + -3j = 7j
(6 + 7j + -5j2) = 0

Solving
6 + 7j + -5j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(2 + -1j)(3 + 5j) = 0

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

Simplifying
2 + -1j = 0

Solving
2 + -1j = 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 + -1j = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1j = 0 + -2
-1j = 0 + -2

Combine like terms: 0 + -2 = -2
-1j = -2

Divide each side by '-1'.
j = 2

Simplifying
j = 2
Subproblem 2
Set the factor '(3 + 5j)' equal to zero and attempt to solve:

Simplifying
3 + 5j = 0

Solving
3 + 5j = 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 + 5j = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5j = 0 + -3
5j = 0 + -3

Combine like terms: 0 + -3 = -3
5j = -3

Divide each side by '5'.
j = -0.6

Simplifying
j = -0.6
Solution
j = {2, -0.6}