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Simplifying (1 + -1i) * x3 + -5x2 + (14 + i) * x + -9 + 2i = 0 Reorder the terms for easier multiplication: x3(1 + -1i) + -5x2 + (14 + i) * x + -9 + 2i = 0 (1 * x3 + -1i * x3) + -5x2 + (14 + i) * x + -9 + 2i = 0 Reorder the terms: (-1ix3 + 1x3) + -5x2 + (14 + i) * x + -9 + 2i = 0 (-1ix3 + 1x3) + -5x2 + (14 + i) * x + -9 + 2i = 0 Reorder the terms for easier multiplication: -1ix3 + 1x3 + -5x2 + x(14 + i) + -9 + 2i = 0 -1ix3 + 1x3 + -5x2 + (14 * x + i * x) + -9 + 2i = 0 Reorder the terms: -1ix3 + 1x3 + -5x2 + (ix + 14x) + -9 + 2i = 0 -1ix3 + 1x3 + -5x2 + (ix + 14x) + -9 + 2i = 0 Reorder the terms: -9 + 2i + ix + -1ix3 + 14x + -5x2 + 1x3 = 0 Solving -9 + 2i + ix + -1ix3 + 14x + -5x2 + 1x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 2i + ix + -1ix3 + 14x + -5x2 + 9 + 1x3 = 0 + 9 Reorder the terms: -9 + 9 + 2i + ix + -1ix3 + 14x + -5x2 + 1x3 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2i + ix + -1ix3 + 14x + -5x2 + 1x3 = 0 + 9 2i + ix + -1ix3 + 14x + -5x2 + 1x3 = 0 + 9 Combine like terms: 0 + 9 = 9 2i + ix + -1ix3 + 14x + -5x2 + 1x3 = 9 Add '-14x' to each side of the equation. 2i + ix + -1ix3 + 14x + -5x2 + -14x + 1x3 = 9 + -14x Reorder the terms: 2i + ix + -1ix3 + 14x + -14x + -5x2 + 1x3 = 9 + -14x Combine like terms: 14x + -14x = 0 2i + ix + -1ix3 + 0 + -5x2 + 1x3 = 9 + -14x 2i + ix + -1ix3 + -5x2 + 1x3 = 9 + -14x Add '5x2' to each side of the equation. 2i + ix + -1ix3 + -5x2 + 5x2 + 1x3 = 9 + -14x + 5x2 Combine like terms: -5x2 + 5x2 = 0 2i + ix + -1ix3 + 0 + 1x3 = 9 + -14x + 5x2 2i + ix + -1ix3 + 1x3 = 9 + -14x + 5x2 Add '-1x3' to each side of the equation. 2i + ix + -1ix3 + 1x3 + -1x3 = 9 + -14x + 5x2 + -1x3 Combine like terms: 1x3 + -1x3 = 0 2i + ix + -1ix3 + 0 = 9 + -14x + 5x2 + -1x3 2i + ix + -1ix3 = 9 + -14x + 5x2 + -1x3 Reorder the terms: -9 + 2i + ix + -1ix3 + 14x + -5x2 + x3 = 9 + -14x + 5x2 + -1x3 + -9 + 14x + -5x2 + x3 Reorder the terms: -9 + 2i + ix + -1ix3 + 14x + -5x2 + x3 = 9 + -9 + -14x + 14x + 5x2 + -5x2 + -1x3 + x3 Combine like terms: 9 + -9 = 0 -9 + 2i + ix + -1ix3 + 14x + -5x2 + x3 = 0 + -14x + 14x + 5x2 + -5x2 + -1x3 + x3 -9 + 2i + ix + -1ix3 + 14x + -5x2 + x3 = -14x + 14x + 5x2 + -5x2 + -1x3 + x3 Combine like terms: -14x + 14x = 0 -9 + 2i + ix + -1ix3 + 14x + -5x2 + x3 = 0 + 5x2 + -5x2 + -1x3 + x3 -9 + 2i + ix + -1ix3 + 14x + -5x2 + x3 = 5x2 + -5x2 + -1x3 + x3 Combine like terms: 5x2 + -5x2 = 0 -9 + 2i + ix + -1ix3 + 14x + -5x2 + x3 = 0 + -1x3 + x3 -9 + 2i + ix + -1ix3 + 14x + -5x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -9 + 2i + ix + -1ix3 + 14x + -5x2 + x3 = 0 The solution to this equation could not be determined.
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