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Simplifying x2 + (6 + 2i) * x + 16 + 12i = 0 Reorder the terms for easier multiplication: x2 + x(6 + 2i) + 16 + 12i = 0 x2 + (6 * x + 2i * x) + 16 + 12i = 0 Reorder the terms: x2 + (2ix + 6x) + 16 + 12i = 0 x2 + (2ix + 6x) + 16 + 12i = 0 Reorder the terms: 16 + 12i + 2ix + 6x + x2 = 0 Solving 16 + 12i + 2ix + 6x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 12i + 2ix + 6x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + 12i + 2ix + 6x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 12i + 2ix + 6x + x2 = 0 + -16 12i + 2ix + 6x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 12i + 2ix + 6x + x2 = -16 Add '-6x' to each side of the equation. 12i + 2ix + 6x + -6x + x2 = -16 + -6x Combine like terms: 6x + -6x = 0 12i + 2ix + 0 + x2 = -16 + -6x 12i + 2ix + x2 = -16 + -6x Add '-1x2' to each side of the equation. 12i + 2ix + x2 + -1x2 = -16 + -6x + -1x2 Combine like terms: x2 + -1x2 = 0 12i + 2ix + 0 = -16 + -6x + -1x2 12i + 2ix = -16 + -6x + -1x2 Reorder the terms: 16 + 12i + 2ix + 6x + x2 = -16 + -6x + -1x2 + 16 + 6x + x2 Reorder the terms: 16 + 12i + 2ix + 6x + x2 = -16 + 16 + -6x + 6x + -1x2 + x2 Combine like terms: -16 + 16 = 0 16 + 12i + 2ix + 6x + x2 = 0 + -6x + 6x + -1x2 + x2 16 + 12i + 2ix + 6x + x2 = -6x + 6x + -1x2 + x2 Combine like terms: -6x + 6x = 0 16 + 12i + 2ix + 6x + x2 = 0 + -1x2 + x2 16 + 12i + 2ix + 6x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 16 + 12i + 2ix + 6x + x2 = 0 The solution to this equation could not be determined.
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