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Simplifying
(-4 + -2j)(-4 + 2j) = 0
Multiply (-4 + -2j) * (-4 + 2j)
(-4(-4 + 2j) + -2j * (-4 + 2j)) = 0
((-4 * -4 + 2j * -4) + -2j * (-4 + 2j)) = 0
((16 + -8j) + -2j * (-4 + 2j)) = 0
(16 + -8j + (-4 * -2j + 2j * -2j)) = 0
(16 + -8j + (8j + -4j2)) = 0
Combine like terms: -8j + 8j = 0
(16 + 0 + -4j2) = 0
(16 + -4j2) = 0
Solving
16 + -4j2 = 0
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + -4j2 = 0 + -16
Combine like terms: 16 + -16 = 0
0 + -4j2 = 0 + -16
-4j2 = 0 + -16
Combine like terms: 0 + -16 = -16
-4j2 = -16
Divide each side by '-4'.
j2 = 4
Simplifying
j2 = 4
Take the square root of each side:
j = {-2, 2}
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