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Simplifying (x + 2 + -2j)(x + 2 + 2j) = 0 Reorder the terms: (2 + -2j + x)(x + 2 + 2j) = 0 Reorder the terms: (2 + -2j + x)(2 + 2j + x) = 0 Multiply (2 + -2j + x) * (2 + 2j + x) (2(2 + 2j + x) + -2j * (2 + 2j + x) + x(2 + 2j + x)) = 0 ((2 * 2 + 2j * 2 + x * 2) + -2j * (2 + 2j + x) + x(2 + 2j + x)) = 0 ((4 + 4j + 2x) + -2j * (2 + 2j + x) + x(2 + 2j + x)) = 0 (4 + 4j + 2x + (2 * -2j + 2j * -2j + x * -2j) + x(2 + 2j + x)) = 0 Reorder the terms: (4 + 4j + 2x + (-4j + -2jx + -4j2) + x(2 + 2j + x)) = 0 (4 + 4j + 2x + (-4j + -2jx + -4j2) + x(2 + 2j + x)) = 0 (4 + 4j + 2x + -4j + -2jx + -4j2 + (2 * x + 2j * x + x * x)) = 0 Reorder the terms: (4 + 4j + 2x + -4j + -2jx + -4j2 + (2jx + 2x + x2)) = 0 (4 + 4j + 2x + -4j + -2jx + -4j2 + (2jx + 2x + x2)) = 0 Reorder the terms: (4 + 4j + -4j + -2jx + 2jx + -4j2 + 2x + 2x + x2) = 0 Combine like terms: 4j + -4j = 0 (4 + 0 + -2jx + 2jx + -4j2 + 2x + 2x + x2) = 0 (4 + -2jx + 2jx + -4j2 + 2x + 2x + x2) = 0 Combine like terms: -2jx + 2jx = 0 (4 + 0 + -4j2 + 2x + 2x + x2) = 0 (4 + -4j2 + 2x + 2x + x2) = 0 Combine like terms: 2x + 2x = 4x (4 + -4j2 + 4x + x2) = 0 Solving 4 + -4j2 + 4x + x2 = 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 + -4j2 + 4x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -4j2 + 4x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -4j2 + 4x + x2 = 0 + -4 -4j2 + 4x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -4j2 + 4x + x2 = -4 Add '-4x' to each side of the equation. -4j2 + 4x + -4x + x2 = -4 + -4x Combine like terms: 4x + -4x = 0 -4j2 + 0 + x2 = -4 + -4x -4j2 + x2 = -4 + -4x Add '-1x2' to each side of the equation. -4j2 + x2 + -1x2 = -4 + -4x + -1x2 Combine like terms: x2 + -1x2 = 0 -4j2 + 0 = -4 + -4x + -1x2 -4j2 = -4 + -4x + -1x2 Divide each side by '-4'. j2 = 1 + x + 0.25x2 Simplifying j2 = 1 + x + 0.25x2 Reorder the terms: -1 + j2 + -1x + -0.25x2 = 1 + x + 0.25x2 + -1 + -1x + -0.25x2 Reorder the terms: -1 + j2 + -1x + -0.25x2 = 1 + -1 + x + -1x + 0.25x2 + -0.25x2 Combine like terms: 1 + -1 = 0 -1 + j2 + -1x + -0.25x2 = 0 + x + -1x + 0.25x2 + -0.25x2 -1 + j2 + -1x + -0.25x2 = x + -1x + 0.25x2 + -0.25x2 Combine like terms: x + -1x = 0 -1 + j2 + -1x + -0.25x2 = 0 + 0.25x2 + -0.25x2 -1 + j2 + -1x + -0.25x2 = 0.25x2 + -0.25x2 Combine like terms: 0.25x2 + -0.25x2 = 0.00 -1 + j2 + -1x + -0.25x2 = 0.00 The solution to this equation could not be determined.
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