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Simplifying (x2 + -6x + 9 + -4i2)(x + -2) = 0 Reorder the terms: (9 + -4i2 + -6x + x2)(x + -2) = 0 Reorder the terms: (9 + -4i2 + -6x + x2)(-2 + x) = 0 Multiply (9 + -4i2 + -6x + x2) * (-2 + x) (9(-2 + x) + -4i2 * (-2 + x) + -6x * (-2 + x) + x2(-2 + x)) = 0 ((-2 * 9 + x * 9) + -4i2 * (-2 + x) + -6x * (-2 + x) + x2(-2 + x)) = 0 ((-18 + 9x) + -4i2 * (-2 + x) + -6x * (-2 + x) + x2(-2 + x)) = 0 (-18 + 9x + (-2 * -4i2 + x * -4i2) + -6x * (-2 + x) + x2(-2 + x)) = 0 (-18 + 9x + (8i2 + -4i2x) + -6x * (-2 + x) + x2(-2 + x)) = 0 (-18 + 9x + 8i2 + -4i2x + (-2 * -6x + x * -6x) + x2(-2 + x)) = 0 (-18 + 9x + 8i2 + -4i2x + (12x + -6x2) + x2(-2 + x)) = 0 (-18 + 9x + 8i2 + -4i2x + 12x + -6x2 + (-2 * x2 + x * x2)) = 0 (-18 + 9x + 8i2 + -4i2x + 12x + -6x2 + (-2x2 + x3)) = 0 Reorder the terms: (-18 + 8i2 + -4i2x + 9x + 12x + -6x2 + -2x2 + x3) = 0 Combine like terms: 9x + 12x = 21x (-18 + 8i2 + -4i2x + 21x + -6x2 + -2x2 + x3) = 0 Combine like terms: -6x2 + -2x2 = -8x2 (-18 + 8i2 + -4i2x + 21x + -8x2 + x3) = 0 Solving -18 + 8i2 + -4i2x + 21x + -8x2 + x3 = 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 + 8i2 + -4i2x + 21x + -8x2 + 18 + x3 = 0 + 18 Reorder the terms: -18 + 18 + 8i2 + -4i2x + 21x + -8x2 + x3 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 8i2 + -4i2x + 21x + -8x2 + x3 = 0 + 18 8i2 + -4i2x + 21x + -8x2 + x3 = 0 + 18 Combine like terms: 0 + 18 = 18 8i2 + -4i2x + 21x + -8x2 + x3 = 18 Add '-21x' to each side of the equation. 8i2 + -4i2x + 21x + -8x2 + -21x + x3 = 18 + -21x Reorder the terms: 8i2 + -4i2x + 21x + -21x + -8x2 + x3 = 18 + -21x Combine like terms: 21x + -21x = 0 8i2 + -4i2x + 0 + -8x2 + x3 = 18 + -21x 8i2 + -4i2x + -8x2 + x3 = 18 + -21x Add '8x2' to each side of the equation. 8i2 + -4i2x + -8x2 + 8x2 + x3 = 18 + -21x + 8x2 Combine like terms: -8x2 + 8x2 = 0 8i2 + -4i2x + 0 + x3 = 18 + -21x + 8x2 8i2 + -4i2x + x3 = 18 + -21x + 8x2 Add '-1x3' to each side of the equation. 8i2 + -4i2x + x3 + -1x3 = 18 + -21x + 8x2 + -1x3 Combine like terms: x3 + -1x3 = 0 8i2 + -4i2x + 0 = 18 + -21x + 8x2 + -1x3 8i2 + -4i2x = 18 + -21x + 8x2 + -1x3 Reorder the terms: -18 + 8i2 + -4i2x + 21x + -8x2 + x3 = 18 + -21x + 8x2 + -1x3 + -18 + 21x + -8x2 + x3 Reorder the terms: -18 + 8i2 + -4i2x + 21x + -8x2 + x3 = 18 + -18 + -21x + 21x + 8x2 + -8x2 + -1x3 + x3 Combine like terms: 18 + -18 = 0 -18 + 8i2 + -4i2x + 21x + -8x2 + x3 = 0 + -21x + 21x + 8x2 + -8x2 + -1x3 + x3 -18 + 8i2 + -4i2x + 21x + -8x2 + x3 = -21x + 21x + 8x2 + -8x2 + -1x3 + x3 Combine like terms: -21x + 21x = 0 -18 + 8i2 + -4i2x + 21x + -8x2 + x3 = 0 + 8x2 + -8x2 + -1x3 + x3 -18 + 8i2 + -4i2x + 21x + -8x2 + x3 = 8x2 + -8x2 + -1x3 + x3 Combine like terms: 8x2 + -8x2 = 0 -18 + 8i2 + -4i2x + 21x + -8x2 + x3 = 0 + -1x3 + x3 -18 + 8i2 + -4i2x + 21x + -8x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -18 + 8i2 + -4i2x + 21x + -8x2 + x3 = 0 The solution to this equation could not be determined.
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