(2+-2j)*[5j-2]=

Solution for (2+-2j)*[5j-2]= equation:

Simplifying
(2 + -2j)[5j + -2] = 0

Reorder the terms:
(2 + -2j)[-2 + 5j] = 0

Multiply (2 + -2j) * [-2 + 5j]
(2[-2 + 5j] + -2j * [-2 + 5j]) = 0
([-2 * 2 + 5j * 2] + -2j * [-2 + 5j]) = 0
([-4 + 10j] + -2j * [-2 + 5j]) = 0
(-4 + 10j + [-2 * -2j + 5j * -2j]) = 0
(-4 + 10j + [4j + -10j2]) = 0

Combine like terms: 10j + 4j = 14j
(-4 + 14j + -10j2) = 0

Solving
-4 + 14j + -10j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 7j + -5j2) = 0

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

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

Simplifying
-1 + j = 0

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

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

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

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

Simplifying
2 + -5j = 0

Solving
2 + -5j = 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 + -5j = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5j = 0 + -2
-5j = 0 + -2

Combine like terms: 0 + -2 = -2
-5j = -2

Divide each side by '-5'.
j = 0.4

Simplifying
j = 0.4
Solution
j = {1, 0.4}