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Simplifying 3x2 + (1 + 2i) + 1 + -1i = 0 Remove parenthesis around (1 + 2i) 3x2 + 1 + 2i + 1 + -1i = 0 Reorder the terms: 1 + 1 + 2i + -1i + 3x2 = 0 Combine like terms: 1 + 1 = 2 2 + 2i + -1i + 3x2 = 0 Combine like terms: 2i + -1i = 1i 2 + 1i + 3x2 = 0 Solving 2 + 1i + 3x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 1i + -2 + 3x2 = 0 + -2 Reorder the terms: 2 + -2 + 1i + 3x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1i + 3x2 = 0 + -2 1i + 3x2 = 0 + -2 Combine like terms: 0 + -2 = -2 1i + 3x2 = -2 Add '-3x2' to each side of the equation. 1i + 3x2 + -3x2 = -2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 1i + 0 = -2 + -3x2 1i = -2 + -3x2 Divide each side by '1'. i = -2 + -3x2 Simplifying i = -2 + -3x2
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