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Simplifying x3 + 6ix + 4(1 + i) = 0 x3 + 6ix + (1 * 4 + i * 4) = 0 x3 + 6ix + (4 + 4i) = 0 Reorder the terms: 4 + 4i + 6ix + x3 = 0 Solving 4 + 4i + 6ix + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4i + 6ix + -4 + x3 = 0 + -4 Reorder the terms: 4 + -4 + 4i + 6ix + x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4i + 6ix + x3 = 0 + -4 4i + 6ix + x3 = 0 + -4 Combine like terms: 0 + -4 = -4 4i + 6ix + x3 = -4 Add '-1x3' to each side of the equation. 4i + 6ix + x3 + -1x3 = -4 + -1x3 Combine like terms: x3 + -1x3 = 0 4i + 6ix + 0 = -4 + -1x3 4i + 6ix = -4 + -1x3 Reorder the terms: 4 + 4i + 6ix + x3 = -4 + -1x3 + 4 + x3 Reorder the terms: 4 + 4i + 6ix + x3 = -4 + 4 + -1x3 + x3 Combine like terms: -4 + 4 = 0 4 + 4i + 6ix + x3 = 0 + -1x3 + x3 4 + 4i + 6ix + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 4 + 4i + 6ix + x3 = 0 The solution to this equation could not be determined.
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