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Simplifying x * x + -1(5 + -1i) * x + 8 + -1i = 0 Multiply x * x x2 + -1(5 + -1i) * x + 8 + -1i = 0 Reorder the terms for easier multiplication: x2 + -1x(5 + -1i) + 8 + -1i = 0 x2 + (5 * -1x + -1i * -1x) + 8 + -1i = 0 Reorder the terms: x2 + (1ix + -5x) + 8 + -1i = 0 x2 + (1ix + -5x) + 8 + -1i = 0 Reorder the terms: 8 + -1i + 1ix + -5x + x2 = 0 Solving 8 + -1i + 1ix + -5x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -1i + 1ix + -5x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -1i + 1ix + -5x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1i + 1ix + -5x + x2 = 0 + -8 -1i + 1ix + -5x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1i + 1ix + -5x + x2 = -8 Add '5x' to each side of the equation. -1i + 1ix + -5x + 5x + x2 = -8 + 5x Combine like terms: -5x + 5x = 0 -1i + 1ix + 0 + x2 = -8 + 5x -1i + 1ix + x2 = -8 + 5x Add '-1x2' to each side of the equation. -1i + 1ix + x2 + -1x2 = -8 + 5x + -1x2 Combine like terms: x2 + -1x2 = 0 -1i + 1ix + 0 = -8 + 5x + -1x2 -1i + 1ix = -8 + 5x + -1x2 Reorder the terms: 8 + -1i + 1ix + -5x + x2 = -8 + 5x + -1x2 + 8 + -5x + x2 Reorder the terms: 8 + -1i + 1ix + -5x + x2 = -8 + 8 + 5x + -5x + -1x2 + x2 Combine like terms: -8 + 8 = 0 8 + -1i + 1ix + -5x + x2 = 0 + 5x + -5x + -1x2 + x2 8 + -1i + 1ix + -5x + x2 = 5x + -5x + -1x2 + x2 Combine like terms: 5x + -5x = 0 8 + -1i + 1ix + -5x + x2 = 0 + -1x2 + x2 8 + -1i + 1ix + -5x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 8 + -1i + 1ix + -5x + x2 = 0 The solution to this equation could not be determined.
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