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Simplifying (X + -3 + -5i)(x + -3 + 5i) = 0 Reorder the terms: (-3 + X + -5i)(x + -3 + 5i) = 0 Reorder the terms: (-3 + X + -5i)(-3 + 5i + x) = 0 Multiply (-3 + X + -5i) * (-3 + 5i + x) (-3(-3 + 5i + x) + X(-3 + 5i + x) + -5i * (-3 + 5i + x)) = 0 ((-3 * -3 + 5i * -3 + x * -3) + X(-3 + 5i + x) + -5i * (-3 + 5i + x)) = 0 ((9 + -15i + -3x) + X(-3 + 5i + x) + -5i * (-3 + 5i + x)) = 0 (9 + -15i + -3x + (-3 * X + 5i * X + x * X) + -5i * (-3 + 5i + x)) = 0 (9 + -15i + -3x + (-3X + 5iX + xX) + -5i * (-3 + 5i + x)) = 0 (9 + -15i + -3x + -3X + 5iX + xX + (-3 * -5i + 5i * -5i + x * -5i)) = 0 Reorder the terms: (9 + -15i + -3x + -3X + 5iX + xX + (15i + -5ix + -25i2)) = 0 (9 + -15i + -3x + -3X + 5iX + xX + (15i + -5ix + -25i2)) = 0 Reorder the terms: (9 + -3X + -15i + 15i + 5iX + -5ix + -25i2 + -3x + xX) = 0 Combine like terms: -15i + 15i = 0 (9 + -3X + 0 + 5iX + -5ix + -25i2 + -3x + xX) = 0 (9 + -3X + 5iX + -5ix + -25i2 + -3x + xX) = 0 Solving 9 + -3X + 5iX + -5ix + -25i2 + -3x + xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -3X + 5iX + -5ix + -25i2 + -3x + -9 + xX = 0 + -9 Reorder the terms: 9 + -9 + -3X + 5iX + -5ix + -25i2 + -3x + xX = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3X + 5iX + -5ix + -25i2 + -3x + xX = 0 + -9 -3X + 5iX + -5ix + -25i2 + -3x + xX = 0 + -9 Combine like terms: 0 + -9 = -9 -3X + 5iX + -5ix + -25i2 + -3x + xX = -9 Add '5ix' to each side of the equation. -3X + 5iX + -5ix + -25i2 + -3x + 5ix + xX = -9 + 5ix Reorder the terms: -3X + 5iX + -5ix + 5ix + -25i2 + -3x + xX = -9 + 5ix Combine like terms: -5ix + 5ix = 0 -3X + 5iX + 0 + -25i2 + -3x + xX = -9 + 5ix -3X + 5iX + -25i2 + -3x + xX = -9 + 5ix Add '25i2' to each side of the equation. -3X + 5iX + -25i2 + -3x + 25i2 + xX = -9 + 5ix + 25i2 Reorder the terms: -3X + 5iX + -25i2 + 25i2 + -3x + xX = -9 + 5ix + 25i2 Combine like terms: -25i2 + 25i2 = 0 -3X + 5iX + 0 + -3x + xX = -9 + 5ix + 25i2 -3X + 5iX + -3x + xX = -9 + 5ix + 25i2 Add '3x' to each side of the equation. -3X + 5iX + -3x + 3x + xX = -9 + 5ix + 25i2 + 3x Combine like terms: -3x + 3x = 0 -3X + 5iX + 0 + xX = -9 + 5ix + 25i2 + 3x -3X + 5iX + xX = -9 + 5ix + 25i2 + 3x Reorder the terms: 9 + -3X + 5iX + -5ix + -25i2 + -3x + xX = -9 + 5ix + 25i2 + 3x + 9 + -5ix + -25i2 + -3x Reorder the terms: 9 + -3X + 5iX + -5ix + -25i2 + -3x + xX = -9 + 9 + 5ix + -5ix + 25i2 + -25i2 + 3x + -3x Combine like terms: -9 + 9 = 0 9 + -3X + 5iX + -5ix + -25i2 + -3x + xX = 0 + 5ix + -5ix + 25i2 + -25i2 + 3x + -3x 9 + -3X + 5iX + -5ix + -25i2 + -3x + xX = 5ix + -5ix + 25i2 + -25i2 + 3x + -3x Combine like terms: 5ix + -5ix = 0 9 + -3X + 5iX + -5ix + -25i2 + -3x + xX = 0 + 25i2 + -25i2 + 3x + -3x 9 + -3X + 5iX + -5ix + -25i2 + -3x + xX = 25i2 + -25i2 + 3x + -3x Combine like terms: 25i2 + -25i2 = 0 9 + -3X + 5iX + -5ix + -25i2 + -3x + xX = 0 + 3x + -3x 9 + -3X + 5iX + -5ix + -25i2 + -3x + xX = 3x + -3x Combine like terms: 3x + -3x = 0 9 + -3X + 5iX + -5ix + -25i2 + -3x + xX = 0 The solution to this equation could not be determined.
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