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Simplifying ((20 + 20i) * x2) + ((-3.82 + 21.66i) * x) + (12.5 + -21.65i) = 0 Reorder the terms for easier multiplication: (x2(20 + 20i)) + ((-3.82 + 21.66i) * x) + (12.5 + -21.65i) = 0 ((20 * x2 + 20i * x2)) + ((-3.82 + 21.66i) * x) + (12.5 + -21.65i) = 0 Reorder the terms: ((20ix2 + 20x2)) + ((-3.82 + 21.66i) * x) + (12.5 + -21.65i) = 0 ((20ix2 + 20x2)) + ((-3.82 + 21.66i) * x) + (12.5 + -21.65i) = 0 (20ix2 + 20x2) + ((-3.82 + 21.66i) * x) + (12.5 + -21.65i) = 0 Remove parenthesis around (20ix2 + 20x2) 20ix2 + 20x2 + ((-3.82 + 21.66i) * x) + (12.5 + -21.65i) = 0 Reorder the terms for easier multiplication: 20ix2 + 20x2 + (x(-3.82 + 21.66i)) + (12.5 + -21.65i) = 0 20ix2 + 20x2 + ((-3.82 * x + 21.66i * x)) + (12.5 + -21.65i) = 0 Reorder the terms: 20ix2 + 20x2 + ((21.66ix + -3.82x)) + (12.5 + -21.65i) = 0 20ix2 + 20x2 + ((21.66ix + -3.82x)) + (12.5 + -21.65i) = 0 20ix2 + 20x2 + (21.66ix + -3.82x) + (12.5 + -21.65i) = 0 Remove parenthesis around (21.66ix + -3.82x) 20ix2 + 20x2 + 21.66ix + -3.82x + (12.5 + -21.65i) = 0 Remove parenthesis around (12.5 + -21.65i) 20ix2 + 20x2 + 21.66ix + -3.82x + 12.5 + -21.65i = 0 Reorder the terms: 12.5 + -21.65i + 21.66ix + 20ix2 + -3.82x + 20x2 = 0 Solving 12.5 + -21.65i + 21.66ix + 20ix2 + -3.82x + 20x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12.5' to each side of the equation. 12.5 + -21.65i + 21.66ix + 20ix2 + -3.82x + -12.5 + 20x2 = 0 + -12.5 Reorder the terms: 12.5 + -12.5 + -21.65i + 21.66ix + 20ix2 + -3.82x + 20x2 = 0 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -21.65i + 21.66ix + 20ix2 + -3.82x + 20x2 = 0 + -12.5 -21.65i + 21.66ix + 20ix2 + -3.82x + 20x2 = 0 + -12.5 Combine like terms: 0 + -12.5 = -12.5 -21.65i + 21.66ix + 20ix2 + -3.82x + 20x2 = -12.5 Add '3.82x' to each side of the equation. -21.65i + 21.66ix + 20ix2 + -3.82x + 3.82x + 20x2 = -12.5 + 3.82x Combine like terms: -3.82x + 3.82x = 0.00 -21.65i + 21.66ix + 20ix2 + 0.00 + 20x2 = -12.5 + 3.82x -21.65i + 21.66ix + 20ix2 + 20x2 = -12.5 + 3.82x Add '-20x2' to each side of the equation. -21.65i + 21.66ix + 20ix2 + 20x2 + -20x2 = -12.5 + 3.82x + -20x2 Combine like terms: 20x2 + -20x2 = 0 -21.65i + 21.66ix + 20ix2 + 0 = -12.5 + 3.82x + -20x2 -21.65i + 21.66ix + 20ix2 = -12.5 + 3.82x + -20x2 Reorder the terms: 12.5 + -21.65i + 21.66ix + 20ix2 + -3.82x + 20x2 = -12.5 + 3.82x + -20x2 + 12.5 + -3.82x + 20x2 Reorder the terms: 12.5 + -21.65i + 21.66ix + 20ix2 + -3.82x + 20x2 = -12.5 + 12.5 + 3.82x + -3.82x + -20x2 + 20x2 Combine like terms: -12.5 + 12.5 = 0.0 12.5 + -21.65i + 21.66ix + 20ix2 + -3.82x + 20x2 = 0.0 + 3.82x + -3.82x + -20x2 + 20x2 12.5 + -21.65i + 21.66ix + 20ix2 + -3.82x + 20x2 = 3.82x + -3.82x + -20x2 + 20x2 Combine like terms: 3.82x + -3.82x = 0.00 12.5 + -21.65i + 21.66ix + 20ix2 + -3.82x + 20x2 = 0.00 + -20x2 + 20x2 12.5 + -21.65i + 21.66ix + 20ix2 + -3.82x + 20x2 = -20x2 + 20x2 Combine like terms: -20x2 + 20x2 = 0 12.5 + -21.65i + 21.66ix + 20ix2 + -3.82x + 20x2 = 0 The solution to this equation could not be determined.
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