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Simplifying (x + 3)(x + 2)(x + -1(1 + -1i)) = equation Reorder the terms: (3 + x)(x + 2)(x + -1(1 + -1i)) = equation Reorder the terms: (3 + x)(2 + x)(x + -1(1 + -1i)) = equation (3 + x)(2 + x)(x + (1 * -1 + -1i * -1)) = equation (3 + x)(2 + x)(x + (-1 + 1i)) = equation Reorder the terms: (3 + x)(2 + x)(-1 + 1i + x) = equation Multiply (3 + x) * (2 + x) (3(2 + x) + x(2 + x))(-1 + 1i + x) = equation ((2 * 3 + x * 3) + x(2 + x))(-1 + 1i + x) = equation ((6 + 3x) + x(2 + x))(-1 + 1i + x) = equation (6 + 3x + (2 * x + x * x))(-1 + 1i + x) = equation (6 + 3x + (2x + x2))(-1 + 1i + x) = equation Combine like terms: 3x + 2x = 5x (6 + 5x + x2)(-1 + 1i + x) = equation Multiply (6 + 5x + x2) * (-1 + 1i + x) (6(-1 + 1i + x) + 5x * (-1 + 1i + x) + x2(-1 + 1i + x)) = equation ((-1 * 6 + 1i * 6 + x * 6) + 5x * (-1 + 1i + x) + x2(-1 + 1i + x)) = equation ((-6 + 6i + 6x) + 5x * (-1 + 1i + x) + x2(-1 + 1i + x)) = equation (-6 + 6i + 6x + (-1 * 5x + 1i * 5x + x * 5x) + x2(-1 + 1i + x)) = equation Reorder the terms: (-6 + 6i + 6x + (5ix + -5x + 5x2) + x2(-1 + 1i + x)) = equation (-6 + 6i + 6x + (5ix + -5x + 5x2) + x2(-1 + 1i + x)) = equation (-6 + 6i + 6x + 5ix + -5x + 5x2 + (-1 * x2 + 1i * x2 + x * x2)) = equation Reorder the terms: (-6 + 6i + 6x + 5ix + -5x + 5x2 + (1ix2 + -1x2 + x3)) = equation (-6 + 6i + 6x + 5ix + -5x + 5x2 + (1ix2 + -1x2 + x3)) = equation Reorder the terms: (-6 + 6i + 5ix + 1ix2 + 6x + -5x + 5x2 + -1x2 + x3) = equation Combine like terms: 6x + -5x = 1x (-6 + 6i + 5ix + 1ix2 + 1x + 5x2 + -1x2 + x3) = equation Combine like terms: 5x2 + -1x2 = 4x2 (-6 + 6i + 5ix + 1ix2 + 1x + 4x2 + x3) = equation Solving -6 + 6i + 5ix + 1ix2 + 1x + 4x2 + x3 = aeinoqtu Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1aeinoqtu' to each side of the equation. -6 + 6i + 5ix + 1ix2 + 1x + 4x2 + -1aeinoqtu + x3 = aeinoqtu + -1aeinoqtu Reorder the terms: -6 + -1aeinoqtu + 6i + 5ix + 1ix2 + 1x + 4x2 + x3 = aeinoqtu + -1aeinoqtu Combine like terms: aeinoqtu + -1aeinoqtu = 0 -6 + -1aeinoqtu + 6i + 5ix + 1ix2 + 1x + 4x2 + x3 = 0 Add '6' to each side of the equation. -6 + -1aeinoqtu + 6i + 5ix + 1ix2 + 1x + 4x2 + 6 + x3 = 0 + 6 Reorder the terms: -6 + 6 + -1aeinoqtu + 6i + 5ix + 1ix2 + 1x + 4x2 + x3 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1aeinoqtu + 6i + 5ix + 1ix2 + 1x + 4x2 + x3 = 0 + 6 -1aeinoqtu + 6i + 5ix + 1ix2 + 1x + 4x2 + x3 = 0 + 6 Combine like terms: 0 + 6 = 6 -1aeinoqtu + 6i + 5ix + 1ix2 + 1x + 4x2 + x3 = 6 Add '-1x' to each side of the equation. -1aeinoqtu + 6i + 5ix + 1ix2 + 1x + 4x2 + -1x + x3 = 6 + -1x Reorder the terms: -1aeinoqtu + 6i + 5ix + 1ix2 + 1x + -1x + 4x2 + x3 = 6 + -1x Combine like terms: 1x + -1x = 0 -1aeinoqtu + 6i + 5ix + 1ix2 + 0 + 4x2 + x3 = 6 + -1x -1aeinoqtu + 6i + 5ix + 1ix2 + 4x2 + x3 = 6 + -1x Add '-4x2' to each side of the equation. -1aeinoqtu + 6i + 5ix + 1ix2 + 4x2 + -4x2 + x3 = 6 + -1x + -4x2 Combine like terms: 4x2 + -4x2 = 0 -1aeinoqtu + 6i + 5ix + 1ix2 + 0 + x3 = 6 + -1x + -4x2 -1aeinoqtu + 6i + 5ix + 1ix2 + x3 = 6 + -1x + -4x2 Add '-1x3' to each side of the equation. -1aeinoqtu + 6i + 5ix + 1ix2 + x3 + -1x3 = 6 + -1x + -4x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -1aeinoqtu + 6i + 5ix + 1ix2 + 0 = 6 + -1x + -4x2 + -1x3 -1aeinoqtu + 6i + 5ix + 1ix2 = 6 + -1x + -4x2 + -1x3 Reorder the terms: -6 + -1aeinoqtu + 6i + 5ix + 1ix2 + x + 4x2 + x3 = 6 + -1x + -4x2 + -1x3 + -6 + x + 4x2 + x3 Reorder the terms: -6 + -1aeinoqtu + 6i + 5ix + 1ix2 + x + 4x2 + x3 = 6 + -6 + -1x + x + -4x2 + 4x2 + -1x3 + x3 Combine like terms: 6 + -6 = 0 -6 + -1aeinoqtu + 6i + 5ix + 1ix2 + x + 4x2 + x3 = 0 + -1x + x + -4x2 + 4x2 + -1x3 + x3 -6 + -1aeinoqtu + 6i + 5ix + 1ix2 + x + 4x2 + x3 = -1x + x + -4x2 + 4x2 + -1x3 + x3 Combine like terms: -1x + x = 0 -6 + -1aeinoqtu + 6i + 5ix + 1ix2 + x + 4x2 + x3 = 0 + -4x2 + 4x2 + -1x3 + x3 -6 + -1aeinoqtu + 6i + 5ix + 1ix2 + x + 4x2 + x3 = -4x2 + 4x2 + -1x3 + x3 Combine like terms: -4x2 + 4x2 = 0 -6 + -1aeinoqtu + 6i + 5ix + 1ix2 + x + 4x2 + x3 = 0 + -1x3 + x3 -6 + -1aeinoqtu + 6i + 5ix + 1ix2 + x + 4x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -6 + -1aeinoqtu + 6i + 5ix + 1ix2 + x + 4x2 + x3 = 0 The solution to this equation could not be determined.
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