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Simplifying x3 + -1(2 + 3i) * x2 + -1(2 + -3i) * x2 + (4 + -9i2) * x + -1x2 + (2 + 3i) * x + (2 + -3i) * x + -1(4 + -9i2) = 0 Reorder the terms for easier multiplication: x3 + -1x2(2 + 3i) + -1(2 + -3i) * x2 + (4 + -9i2) * x + -1x2 + (2 + 3i) * x + (2 + -3i) * x + -1(4 + -9i2) = 0 x3 + (2 * -1x2 + 3i * -1x2) + -1(2 + -3i) * x2 + (4 + -9i2) * x + -1x2 + (2 + 3i) * x + (2 + -3i) * x + -1(4 + -9i2) = 0 Reorder the terms: x3 + (-3ix2 + -2x2) + -1(2 + -3i) * x2 + (4 + -9i2) * x + -1x2 + (2 + 3i) * x + (2 + -3i) * x + -1(4 + -9i2) = 0 x3 + (-3ix2 + -2x2) + -1(2 + -3i) * x2 + (4 + -9i2) * x + -1x2 + (2 + 3i) * x + (2 + -3i) * x + -1(4 + -9i2) = 0 Reorder the terms for easier multiplication: x3 + -3ix2 + -2x2 + -1x2(2 + -3i) + (4 + -9i2) * x + -1x2 + (2 + 3i) * x + (2 + -3i) * x + -1(4 + -9i2) = 0 x3 + -3ix2 + -2x2 + (2 * -1x2 + -3i * -1x2) + (4 + -9i2) * x + -1x2 + (2 + 3i) * x + (2 + -3i) * x + -1(4 + -9i2) = 0 Reorder the terms: x3 + -3ix2 + -2x2 + (3ix2 + -2x2) + (4 + -9i2) * x + -1x2 + (2 + 3i) * x + (2 + -3i) * x + -1(4 + -9i2) = 0 x3 + -3ix2 + -2x2 + (3ix2 + -2x2) + (4 + -9i2) * x + -1x2 + (2 + 3i) * x + (2 + -3i) * x + -1(4 + -9i2) = 0 Reorder the terms for easier multiplication: x3 + -3ix2 + -2x2 + 3ix2 + -2x2 + x(4 + -9i2) + -1x2 + (2 + 3i) * x + (2 + -3i) * x + -1(4 + -9i2) = 0 x3 + -3ix2 + -2x2 + 3ix2 + -2x2 + (4 * x + -9i2 * x) + -1x2 + (2 + 3i) * x + (2 + -3i) * x + -1(4 + -9i2) = 0 Reorder the terms: x3 + -3ix2 + -2x2 + 3ix2 + -2x2 + (-9i2x + 4x) + -1x2 + (2 + 3i) * x + (2 + -3i) * x + -1(4 + -9i2) = 0 x3 + -3ix2 + -2x2 + 3ix2 + -2x2 + (-9i2x + 4x) + -1x2 + (2 + 3i) * x + (2 + -3i) * x + -1(4 + -9i2) = 0 Reorder the terms for easier multiplication: x3 + -3ix2 + -2x2 + 3ix2 + -2x2 + -9i2x + 4x + -1x2 + x(2 + 3i) + (2 + -3i) * x + -1(4 + -9i2) = 0 x3 + -3ix2 + -2x2 + 3ix2 + -2x2 + -9i2x + 4x + -1x2 + (2 * x + 3i * x) + (2 + -3i) * x + -1(4 + -9i2) = 0 Reorder the terms: x3 + -3ix2 + -2x2 + 3ix2 + -2x2 + -9i2x + 4x + -1x2 + (3ix + 2x) + (2 + -3i) * x + -1(4 + -9i2) = 0 x3 + -3ix2 + -2x2 + 3ix2 + -2x2 + -9i2x + 4x + -1x2 + (3ix + 2x) + (2 + -3i) * x + -1(4 + -9i2) = 0 Reorder the terms for easier multiplication: x3 + -3ix2 + -2x2 + 3ix2 + -2x2 + -9i2x + 4x + -1x2 + 3ix + 2x + x(2 + -3i) + -1(4 + -9i2) = 0 x3 + -3ix2 + -2x2 + 3ix2 + -2x2 + -9i2x + 4x + -1x2 + 3ix + 2x + (2 * x + -3i * x) + -1(4 + -9i2) = 0 Reorder the terms: x3 + -3ix2 + -2x2 + 3ix2 + -2x2 + -9i2x + 4x + -1x2 + 3ix + 2x + (-3ix + 2x) + -1(4 + -9i2) = 0 x3 + -3ix2 + -2x2 + 3ix2 + -2x2 + -9i2x + 4x + -1x2 + 3ix + 2x + (-3ix + 2x) + -1(4 + -9i2) = 0 x3 + -3ix2 + -2x2 + 3ix2 + -2x2 + -9i2x + 4x + -1x2 + 3ix + 2x + -3ix + 2x + (4 * -1 + -9i2 * -1) = 0 x3 + -3ix2 + -2x2 + 3ix2 + -2x2 + -9i2x + 4x + -1x2 + 3ix + 2x + -3ix + 2x + (-4 + 9i2) = 0 Reorder the terms: -4 + 3ix + -3ix + -3ix2 + 3ix2 + 9i2 + -9i2x + 4x + 2x + 2x + -2x2 + -2x2 + -1x2 + x3 = 0 Combine like terms: 3ix + -3ix = 0 -4 + 0 + -3ix2 + 3ix2 + 9i2 + -9i2x + 4x + 2x + 2x + -2x2 + -2x2 + -1x2 + x3 = 0 -4 + -3ix2 + 3ix2 + 9i2 + -9i2x + 4x + 2x + 2x + -2x2 + -2x2 + -1x2 + x3 = 0 Combine like terms: -3ix2 + 3ix2 = 0 -4 + 0 + 9i2 + -9i2x + 4x + 2x + 2x + -2x2 + -2x2 + -1x2 + x3 = 0 -4 + 9i2 + -9i2x + 4x + 2x + 2x + -2x2 + -2x2 + -1x2 + x3 = 0 Combine like terms: 4x + 2x = 6x -4 + 9i2 + -9i2x + 6x + 2x + -2x2 + -2x2 + -1x2 + x3 = 0 Combine like terms: 6x + 2x = 8x -4 + 9i2 + -9i2x + 8x + -2x2 + -2x2 + -1x2 + x3 = 0 Combine like terms: -2x2 + -2x2 = -4x2 -4 + 9i2 + -9i2x + 8x + -4x2 + -1x2 + x3 = 0 Combine like terms: -4x2 + -1x2 = -5x2 -4 + 9i2 + -9i2x + 8x + -5x2 + x3 = 0 Solving -4 + 9i2 + -9i2x + 8x + -5x2 + 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 + 9i2 + -9i2x + 8x + -5x2 + 4 + x3 = 0 + 4 Reorder the terms: -4 + 4 + 9i2 + -9i2x + 8x + -5x2 + x3 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9i2 + -9i2x + 8x + -5x2 + x3 = 0 + 4 9i2 + -9i2x + 8x + -5x2 + x3 = 0 + 4 Combine like terms: 0 + 4 = 4 9i2 + -9i2x + 8x + -5x2 + x3 = 4 Add '-8x' to each side of the equation. 9i2 + -9i2x + 8x + -5x2 + -8x + x3 = 4 + -8x Reorder the terms: 9i2 + -9i2x + 8x + -8x + -5x2 + x3 = 4 + -8x Combine like terms: 8x + -8x = 0 9i2 + -9i2x + 0 + -5x2 + x3 = 4 + -8x 9i2 + -9i2x + -5x2 + x3 = 4 + -8x Add '5x2' to each side of the equation. 9i2 + -9i2x + -5x2 + 5x2 + x3 = 4 + -8x + 5x2 Combine like terms: -5x2 + 5x2 = 0 9i2 + -9i2x + 0 + x3 = 4 + -8x + 5x2 9i2 + -9i2x + x3 = 4 + -8x + 5x2 Add '-1x3' to each side of the equation. 9i2 + -9i2x + x3 + -1x3 = 4 + -8x + 5x2 + -1x3 Combine like terms: x3 + -1x3 = 0 9i2 + -9i2x + 0 = 4 + -8x + 5x2 + -1x3 9i2 + -9i2x = 4 + -8x + 5x2 + -1x3 Reorder the terms: -4 + 9i2 + -9i2x + 8x + -5x2 + x3 = 4 + -8x + 5x2 + -1x3 + -4 + 8x + -5x2 + x3 Reorder the terms: -4 + 9i2 + -9i2x + 8x + -5x2 + x3 = 4 + -4 + -8x + 8x + 5x2 + -5x2 + -1x3 + x3 Combine like terms: 4 + -4 = 0 -4 + 9i2 + -9i2x + 8x + -5x2 + x3 = 0 + -8x + 8x + 5x2 + -5x2 + -1x3 + x3 -4 + 9i2 + -9i2x + 8x + -5x2 + x3 = -8x + 8x + 5x2 + -5x2 + -1x3 + x3 Combine like terms: -8x + 8x = 0 -4 + 9i2 + -9i2x + 8x + -5x2 + x3 = 0 + 5x2 + -5x2 + -1x3 + x3 -4 + 9i2 + -9i2x + 8x + -5x2 + x3 = 5x2 + -5x2 + -1x3 + x3 Combine like terms: 5x2 + -5x2 = 0 -4 + 9i2 + -9i2x + 8x + -5x2 + x3 = 0 + -1x3 + x3 -4 + 9i2 + -9i2x + 8x + -5x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -4 + 9i2 + -9i2x + 8x + -5x2 + x3 = 0 The solution to this equation could not be determined.
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