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Simplifying 0 = (X + -2)(x + 3 + -5i)(x + 3 + 5i) Reorder the terms: 0 = (-2 + X)(x + 3 + -5i)(x + 3 + 5i) Reorder the terms: 0 = (-2 + X)(3 + -5i + x)(x + 3 + 5i) Reorder the terms: 0 = (-2 + X)(3 + -5i + x)(3 + 5i + x) Multiply (-2 + X) * (3 + -5i + x) 0 = (-2(3 + -5i + x) + X(3 + -5i + x))(3 + 5i + x) 0 = ((3 * -2 + -5i * -2 + x * -2) + X(3 + -5i + x))(3 + 5i + x) 0 = ((-6 + 10i + -2x) + X(3 + -5i + x))(3 + 5i + x) 0 = (-6 + 10i + -2x + (3 * X + -5i * X + x * X))(3 + 5i + x) 0 = (-6 + 10i + -2x + (3X + -5iX + xX))(3 + 5i + x) Reorder the terms: 0 = (-6 + 3X + 10i + -5iX + -2x + xX)(3 + 5i + x) 0 = (-6 + 3X + 10i + -5iX + -2x + xX)(3 + 5i + x) Multiply (-6 + 3X + 10i + -5iX + -2x + xX) * (3 + 5i + x) 0 = (-6(3 + 5i + x) + 3X * (3 + 5i + x) + 10i * (3 + 5i + x) + -5iX * (3 + 5i + x) + -2x * (3 + 5i + x) + xX(3 + 5i + x)) 0 = ((3 * -6 + 5i * -6 + x * -6) + 3X * (3 + 5i + x) + 10i * (3 + 5i + x) + -5iX * (3 + 5i + x) + -2x * (3 + 5i + x) + xX(3 + 5i + x)) 0 = ((-18 + -30i + -6x) + 3X * (3 + 5i + x) + 10i * (3 + 5i + x) + -5iX * (3 + 5i + x) + -2x * (3 + 5i + x) + xX(3 + 5i + x)) 0 = (-18 + -30i + -6x + (3 * 3X + 5i * 3X + x * 3X) + 10i * (3 + 5i + x) + -5iX * (3 + 5i + x) + -2x * (3 + 5i + x) + xX(3 + 5i + x)) 0 = (-18 + -30i + -6x + (9X + 15iX + 3xX) + 10i * (3 + 5i + x) + -5iX * (3 + 5i + x) + -2x * (3 + 5i + x) + xX(3 + 5i + x)) 0 = (-18 + -30i + -6x + 9X + 15iX + 3xX + (3 * 10i + 5i * 10i + x * 10i) + -5iX * (3 + 5i + x) + -2x * (3 + 5i + x) + xX(3 + 5i + x)) Reorder the terms: 0 = (-18 + -30i + -6x + 9X + 15iX + 3xX + (30i + 10ix + 50i2) + -5iX * (3 + 5i + x) + -2x * (3 + 5i + x) + xX(3 + 5i + x)) 0 = (-18 + -30i + -6x + 9X + 15iX + 3xX + (30i + 10ix + 50i2) + -5iX * (3 + 5i + x) + -2x * (3 + 5i + x) + xX(3 + 5i + x)) 0 = (-18 + -30i + -6x + 9X + 15iX + 3xX + 30i + 10ix + 50i2 + (3 * -5iX + 5i * -5iX + x * -5iX) + -2x * (3 + 5i + x) + xX(3 + 5i + x)) Reorder the terms: 0 = (-18 + -30i + -6x + 9X + 15iX + 3xX + 30i + 10ix + 50i2 + (-15iX + -5ixX + -25i2X) + -2x * (3 + 5i + x) + xX(3 + 5i + x)) 0 = (-18 + -30i + -6x + 9X + 15iX + 3xX + 30i + 10ix + 50i2 + (-15iX + -5ixX + -25i2X) + -2x * (3 + 5i + x) + xX(3 + 5i + x)) 0 = (-18 + -30i + -6x + 9X + 15iX + 3xX + 30i + 10ix + 50i2 + -15iX + -5ixX + -25i2X + (3 * -2x + 5i * -2x + x * -2x) + xX(3 + 5i + x)) Reorder the terms: 0 = (-18 + -30i + -6x + 9X + 15iX + 3xX + 30i + 10ix + 50i2 + -15iX + -5ixX + -25i2X + (-10ix + -6x + -2x2) + xX(3 + 5i + x)) 0 = (-18 + -30i + -6x + 9X + 15iX + 3xX + 30i + 10ix + 50i2 + -15iX + -5ixX + -25i2X + (-10ix + -6x + -2x2) + xX(3 + 5i + x)) 0 = (-18 + -30i + -6x + 9X + 15iX + 3xX + 30i + 10ix + 50i2 + -15iX + -5ixX + -25i2X + -10ix + -6x + -2x2 + (3 * xX + 5i * xX + x * xX)) Reorder the terms: 0 = (-18 + -30i + -6x + 9X + 15iX + 3xX + 30i + 10ix + 50i2 + -15iX + -5ixX + -25i2X + -10ix + -6x + -2x2 + (5ixX + 3xX + x2X)) 0 = (-18 + -30i + -6x + 9X + 15iX + 3xX + 30i + 10ix + 50i2 + -15iX + -5ixX + -25i2X + -10ix + -6x + -2x2 + (5ixX + 3xX + x2X)) Reorder the terms: 0 = (-18 + 9X + -30i + 30i + 15iX + -15iX + 10ix + -10ix + -5ixX + 5ixX + 50i2 + -25i2X + -6x + -6x + 3xX + 3xX + -2x2 + x2X) Combine like terms: -30i + 30i = 0 0 = (-18 + 9X + 0 + 15iX + -15iX + 10ix + -10ix + -5ixX + 5ixX + 50i2 + -25i2X + -6x + -6x + 3xX + 3xX + -2x2 + x2X) 0 = (-18 + 9X + 15iX + -15iX + 10ix + -10ix + -5ixX + 5ixX + 50i2 + -25i2X + -6x + -6x + 3xX + 3xX + -2x2 + x2X) Combine like terms: 15iX + -15iX = 0 0 = (-18 + 9X + 0 + 10ix + -10ix + -5ixX + 5ixX + 50i2 + -25i2X + -6x + -6x + 3xX + 3xX + -2x2 + x2X) 0 = (-18 + 9X + 10ix + -10ix + -5ixX + 5ixX + 50i2 + -25i2X + -6x + -6x + 3xX + 3xX + -2x2 + x2X) Combine like terms: 10ix + -10ix = 0 0 = (-18 + 9X + 0 + -5ixX + 5ixX + 50i2 + -25i2X + -6x + -6x + 3xX + 3xX + -2x2 + x2X) 0 = (-18 + 9X + -5ixX + 5ixX + 50i2 + -25i2X + -6x + -6x + 3xX + 3xX + -2x2 + x2X) Combine like terms: -5ixX + 5ixX = 0 0 = (-18 + 9X + 0 + 50i2 + -25i2X + -6x + -6x + 3xX + 3xX + -2x2 + x2X) 0 = (-18 + 9X + 50i2 + -25i2X + -6x + -6x + 3xX + 3xX + -2x2 + x2X) Combine like terms: -6x + -6x = -12x 0 = (-18 + 9X + 50i2 + -25i2X + -12x + 3xX + 3xX + -2x2 + x2X) Combine like terms: 3xX + 3xX = 6xX 0 = (-18 + 9X + 50i2 + -25i2X + -12x + 6xX + -2x2 + x2X) Solving 0 = -18 + 9X + 50i2 + -25i2X + -12x + 6xX + -2x2 + x2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9X' to each side of the equation. 0 + -9X = -18 + 9X + 50i2 + -25i2X + -12x + 6xX + -2x2 + -9X + x2X Remove the zero: -9X = -18 + 9X + 50i2 + -25i2X + -12x + 6xX + -2x2 + -9X + x2X Reorder the terms: -9X = -18 + 9X + -9X + 50i2 + -25i2X + -12x + 6xX + -2x2 + x2X Combine like terms: 9X + -9X = 0 -9X = -18 + 0 + 50i2 + -25i2X + -12x + 6xX + -2x2 + x2X -9X = -18 + 50i2 + -25i2X + -12x + 6xX + -2x2 + x2X Add '25i2X' to each side of the equation. -9X + 25i2X = -18 + 50i2 + -25i2X + -12x + 6xX + -2x2 + 25i2X + x2X Reorder the terms: -9X + 25i2X = -18 + 50i2 + -25i2X + 25i2X + -12x + 6xX + -2x2 + x2X Combine like terms: -25i2X + 25i2X = 0 -9X + 25i2X = -18 + 50i2 + 0 + -12x + 6xX + -2x2 + x2X -9X + 25i2X = -18 + 50i2 + -12x + 6xX + -2x2 + x2X Add '-6xX' to each side of the equation. -9X + 25i2X + -6xX = -18 + 50i2 + -12x + 6xX + -2x2 + -6xX + x2X Reorder the terms: -9X + 25i2X + -6xX = -18 + 50i2 + -12x + 6xX + -6xX + -2x2 + x2X Combine like terms: 6xX + -6xX = 0 -9X + 25i2X + -6xX = -18 + 50i2 + -12x + 0 + -2x2 + x2X -9X + 25i2X + -6xX = -18 + 50i2 + -12x + -2x2 + x2X Add '-1x2X' to each side of the equation. -9X + 25i2X + -6xX + -1x2X = -18 + 50i2 + -12x + -2x2 + x2X + -1x2X Combine like terms: x2X + -1x2X = 0 -9X + 25i2X + -6xX + -1x2X = -18 + 50i2 + -12x + -2x2 + 0 -9X + 25i2X + -6xX + -1x2X = -18 + 50i2 + -12x + -2x2 Reorder the terms: 18 + -9X + -50i2 + 25i2X + 12x + -6xX + 2x2 + -1x2X = -18 + 50i2 + -12x + -2x2 + 18 + -50i2 + 12x + 2x2 Reorder the terms: 18 + -9X + -50i2 + 25i2X + 12x + -6xX + 2x2 + -1x2X = -18 + 18 + 50i2 + -50i2 + -12x + 12x + -2x2 + 2x2 Combine like terms: -18 + 18 = 0 18 + -9X + -50i2 + 25i2X + 12x + -6xX + 2x2 + -1x2X = 0 + 50i2 + -50i2 + -12x + 12x + -2x2 + 2x2 18 + -9X + -50i2 + 25i2X + 12x + -6xX + 2x2 + -1x2X = 50i2 + -50i2 + -12x + 12x + -2x2 + 2x2 Combine like terms: 50i2 + -50i2 = 0 18 + -9X + -50i2 + 25i2X + 12x + -6xX + 2x2 + -1x2X = 0 + -12x + 12x + -2x2 + 2x2 18 + -9X + -50i2 + 25i2X + 12x + -6xX + 2x2 + -1x2X = -12x + 12x + -2x2 + 2x2 Combine like terms: -12x + 12x = 0 18 + -9X + -50i2 + 25i2X + 12x + -6xX + 2x2 + -1x2X = 0 + -2x2 + 2x2 18 + -9X + -50i2 + 25i2X + 12x + -6xX + 2x2 + -1x2X = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 18 + -9X + -50i2 + 25i2X + 12x + -6xX + 2x2 + -1x2X = 0 The solution to this equation could not be determined.
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