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Simplifying x2 + -3x + 6ix + -18 + 2i = 0 Reorder the terms: -18 + 2i + 6ix + -3x + x2 = 0 Solving -18 + 2i + 6ix + -3x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 2i + 6ix + -3x + 18 + x2 = 0 + 18 Reorder the terms: -18 + 18 + 2i + 6ix + -3x + x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 2i + 6ix + -3x + x2 = 0 + 18 2i + 6ix + -3x + x2 = 0 + 18 Combine like terms: 0 + 18 = 18 2i + 6ix + -3x + x2 = 18 Add '3x' to each side of the equation. 2i + 6ix + -3x + 3x + x2 = 18 + 3x Combine like terms: -3x + 3x = 0 2i + 6ix + 0 + x2 = 18 + 3x 2i + 6ix + x2 = 18 + 3x Add '-1x2' to each side of the equation. 2i + 6ix + x2 + -1x2 = 18 + 3x + -1x2 Combine like terms: x2 + -1x2 = 0 2i + 6ix + 0 = 18 + 3x + -1x2 2i + 6ix = 18 + 3x + -1x2 Reorder the terms: -18 + 2i + 6ix + -3x + x2 = 18 + 3x + -1x2 + -18 + -3x + x2 Reorder the terms: -18 + 2i + 6ix + -3x + x2 = 18 + -18 + 3x + -3x + -1x2 + x2 Combine like terms: 18 + -18 = 0 -18 + 2i + 6ix + -3x + x2 = 0 + 3x + -3x + -1x2 + x2 -18 + 2i + 6ix + -3x + x2 = 3x + -3x + -1x2 + x2 Combine like terms: 3x + -3x = 0 -18 + 2i + 6ix + -3x + x2 = 0 + -1x2 + x2 -18 + 2i + 6ix + -3x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -18 + 2i + 6ix + -3x + x2 = 0 The solution to this equation could not be determined.
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