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Simplifying (2 + 4j)(2 + -4j) = 0 Multiply (2 + 4j) * (2 + -4j) (2(2 + -4j) + 4j * (2 + -4j)) = 0 ((2 * 2 + -4j * 2) + 4j * (2 + -4j)) = 0 ((4 + -8j) + 4j * (2 + -4j)) = 0 (4 + -8j + (2 * 4j + -4j * 4j)) = 0 (4 + -8j + (8j + -16j2)) = 0 Combine like terms: -8j + 8j = 0 (4 + 0 + -16j2) = 0 (4 + -16j2) = 0 Solving 4 + -16j2 = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -16j2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -16j2 = 0 + -4 -16j2 = 0 + -4 Combine like terms: 0 + -4 = -4 -16j2 = -4 Divide each side by '-16'. j2 = 0.25 Simplifying j2 = 0.25 Take the square root of each side: j = {-0.5, 0.5}
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