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Simplifying (1 + i) * x2 + -3x + (1 + -1i) = 0 Reorder the terms for easier multiplication: x2(1 + i) + -3x + (1 + -1i) = 0 (1 * x2 + i * x2) + -3x + (1 + -1i) = 0 Reorder the terms: (ix2 + 1x2) + -3x + (1 + -1i) = 0 (ix2 + 1x2) + -3x + (1 + -1i) = 0 Remove parenthesis around (1 + -1i) ix2 + 1x2 + -3x + 1 + -1i = 0 Reorder the terms: 1 + -1i + ix2 + -3x + 1x2 = 0 Solving 1 + -1i + ix2 + -3x + 1x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1i + ix2 + -3x + -1 + 1x2 = 0 + -1 Reorder the terms: 1 + -1 + -1i + ix2 + -3x + 1x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1i + ix2 + -3x + 1x2 = 0 + -1 -1i + ix2 + -3x + 1x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1i + ix2 + -3x + 1x2 = -1 Add '3x' to each side of the equation. -1i + ix2 + -3x + 3x + 1x2 = -1 + 3x Combine like terms: -3x + 3x = 0 -1i + ix2 + 0 + 1x2 = -1 + 3x -1i + ix2 + 1x2 = -1 + 3x Add '-1x2' to each side of the equation. -1i + ix2 + 1x2 + -1x2 = -1 + 3x + -1x2 Combine like terms: 1x2 + -1x2 = 0 -1i + ix2 + 0 = -1 + 3x + -1x2 -1i + ix2 = -1 + 3x + -1x2 Reorder the terms: 1 + -1i + ix2 + -3x + x2 = -1 + 3x + -1x2 + 1 + -3x + x2 Reorder the terms: 1 + -1i + ix2 + -3x + x2 = -1 + 1 + 3x + -3x + -1x2 + x2 Combine like terms: -1 + 1 = 0 1 + -1i + ix2 + -3x + x2 = 0 + 3x + -3x + -1x2 + x2 1 + -1i + ix2 + -3x + x2 = 3x + -3x + -1x2 + x2 Combine like terms: 3x + -3x = 0 1 + -1i + ix2 + -3x + x2 = 0 + -1x2 + x2 1 + -1i + ix2 + -3x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 1 + -1i + ix2 + -3x + x2 = 0 The solution to this equation could not be determined.
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